Collatz 5n+1 simulator

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Collatz 5n+1 simulator
x = 4700, y = 4491, rule = B3/S23 2511b2o3b2o$2511b2o2bob3o$2515bo4bo$2511b4ob2o2bo$2511bo2bobobob2o$ 2514bobobobo$2515b2obobo$2519bo2$2505b2o$2506bo7b2o$2506bobo5b2o$2507b 2o7$2517b2o$2517bo$2518b3o$2520bo4$2622bo3bo3bo11bo3bo3bo10bo3bo3bo10b o3bo3bo$2621bobobobobobo9bobobobobobo8bobobobobobo8bobobobobobo$2622bo 3bo3bo11bo3bo3bo10bo3bo3bo10bo3bo3bo2$2630bo11bo18bo7bo10bo7bo$2629bob o9bobo16bobo5bobo8bobo5bobo$2630bo11bo18bo7bo10bo7bo2$2630bo11bo18bo7b o10bo7bo14bo$2629bobo9bobo16bobo5bobo8bobo5bobo12bobo$2630bo11bo18bo7b o10bo7bo14bo2$2626bo15bo3bo3bo10bo3bo14bo7bo10bo3bo3bo$2625bobo13bobob obobobo8bobobobo12bobo5bobo8bobobobobobo$2626bo15bo3bo3bo10bo3bo14bo7b o10bo3bo3bo2$2622bo19bo18bo7bo10bo7bo14bo$2621bobo17bobo16bobo5bobo8bo bo5bobo12bobo$2622bo19bo18bo7bo10bo7bo14bo2$2622bo19bo18bo7bo10bo7bo$ 2621bobo17bobo16bobo5bobo8bobo5bobo$2622bo19bo18bo7bo10bo7bo2$2622bo3b o3bo11bo3bo3bo10bo7bo10bo3bo3bo$2621bobobobobobo9bobobobobobo8bobo5bob o8bobobobobobo$2622bo3bo3bo11bo3bo3bo10bo7bo10bo3bo3bo12$2499b2o$2499b o$2497bobo$2497b2o6$2498b2o$2492b2o4b2o$2492b2o4$2493b2o$2493b2o2b2o$ 2497bobo$2485b2o12bo$2485bobo11b2o$2487bo$2487b2o5$2485b2o$2461bo23bob o$2461b3o23bo$2464bo22b2o$2463b2o14b2o$2479b2o10$2460b2o$2459bo2bo2b2o $2460b2o2bobo13b2o$2462b2o16bobo$2462bo19bo$2459b2obo2bo16b2o$2459bob 2obobo$2463bobo$2460b2o2bo$2458b3ob2o$2457bo$2458b3ob2o$2460bob2o2$ 2470b2o$2470b2o7b2o$2479bo$2477bobo$2477b2o4$2457b2o$2457b2o5$2473bo$ 2472bobo$2472bobo$2473bo$2474b3o$2476bo43$2539bo$2521b2o14b5o$2522bo 13bo5bo$2522bobo12b3o2bo$2523b2o15bob2o$2537b4o2bo$2532b2o3bo3b2o$ 2532b2o4b3o$2540bo$2540bob2o$2539b2ob2o3$2531b2o$2531bo$2532b3o$2534bo 93$2330b2o3b2o$2328b3obo2b2o$2327bo4bo$2278bo11b2o35bo2b2ob4o$2277bobo 10b2o34b2obobobo2bo$2269bo3b2o2bobo47bobobobo$2268bobo2bo2b2ob2o46bobo b2o$2254b2o12bobo3bobo51bo$2255bo13bob4o2bob2o$2255bobo13bo3bobob2o60b 2o$2256b2o12bo3bobo55b2o7bo$2269bo3bobo56b2o5bobo$2269b2o3bo64b2o4$ 2282b2o$2282b2o$2297b2o$2296bo2bo29b2o$2297b2obo29bo$2300bo26b3o$2300b 2o25bo22bo$2285b2o45b2o14b5o$2286bo46bo13bo5bo$2257b2o24b3o17bo29bobo 12b3o2bo$2257b2o11b2o11bo19b3o28b2o15bob2o$2270bo17b2o16bo41b4o2bo$ 2271b3o15bo15b2o36b2o3bo3b2o$2273bo15bobo51b2o4b3o$2290b2o59bo$2245b2o 6b2o96bob2o$2245bo7bo96b2ob2o$2246b3o5b3o$2248bo7bo$2315b2o25b2o$2308b 2o5bobo24bo$2308b2o7bo25b3o$2237b2o78b2o26bo$2237b2o3b2o$2242b2o60bo$ 2303bobob2o101bo11b2o$2303bobobobo53bo45bobo10b2o$2229b2o12b2o57b2obob obo2bo49bobo3b2o31bo3b2o2bobo$2230bo5b2o5bo59bo2b2ob4o48bo2bo3bo31bobo 2bo2b2ob2o$2227b3o6b2o6b3o56bo4bo52bobob2obo17b2o12bobo3bobo$2227bo18b o57b3obo2b2o47b2obobobo19bo13bob4o2bob2o$2306b2o3b2o45bo2bob2o22bobo 13bo3bobob2o$2229bo11b2o115b2o28b2o12bo3bobo$2228bobo10b2o158bo3bobo$ 2220bo3b2o2bobo170b2o3bo$2219bobo2bo2b2ob2o148b2o$2205b2o12bobo3bobo 152bo$2206bo13bob4o2bob2o146bobo$2206bobo13bo3bobob2o128b2o16b2o34b2o$ 2207b2o12bo3bobo132b2o52b2o$2220bo3bobo121b2o3b2o74b2o$2220b2o3bo120b 3obo2b2o73bo2bo$2345bo4bo78b2obo$2345bo2b2ob4o5b2o70bo$2344b2obobobo2b o5b2o70b2o$2233b2o110bobobobo65b2o$2233b2o110bobob2o67bo$2248b2o96bo 42b2o24b3o$2247bo2bo138b2o11b2o11bo$2248b2obo107b2o41bo$2251bo98b2o7bo 38bo4b3o$2251b2o97b2o5bobo36b3o6bo$2236b2o119b2o36bo$2237bo157b2o$ 2208b2o24b3o$2208b2o11b2o11bo$2221bo181b2ob2o$2222b3o142b2o35bob2o$ 2224bo142b2o35bo$2347b2o47b2o4b3o$2196b2o6b2o142bo47b2o3bo3b2o$2196bo 7bo140b3o53b4o2bo5b2o3b2o$2197b3o5b3o137bo41b2o15bob2o3b3obo2b2o$2199b o7bo54b2o122bobo12b3o2bo3bo4bo$2263bo122bo13bo5bo3bo2b2ob4o$2263bobo 119b2o14b5o3b2obobobo2bo$2264b2o2b2o37bo95bo6bobobobo$2188b2o78b2o35b 3o102bobob2o$2188b2o3b2o109bo106bo$2193b2o96b2o11b2o11bo$2291b2o24b3o 104b2o$2320bo54bo39b2o7bo$2180b2o12b2o123b2o54b3o37b2o5bobo$2181bo5b2o 5bo139b2o42bo43b2o477bo$2178b3o6b2o6b3o136bo42b2o520b3o$2178bo18bo133b 2obo563bo$2257b2o71bo2bo564b2o$2257bobo71b2o$2259bo56b2o$2259b3o54b2o 588b2ob2o$2257b2o3bo149b2o493bob2o$2256bo2b4o124b2o24bo493bo$2256b2obo 120b2o5bobo20b3o486b2o4b3o$2259bob2o40b2o3bo71b2o7bo20bo488b2o3bo3b2o$ 2259bobo41bo3bobo79b2o513b4o2bo$2258b2obobo26b2o12bo3bobo579b2o15bob2o $2262b2o25bobo13bo3bobob2o61bo512bobo12b3o2bo$2289bo13bob4o2bob2o60bob ob2o508bo13bo5bo$2288b2o12bobo3bobo64bobobobo506b2o14b5o$2302bobo2bo2b 2ob2o59b2obobobo2bo521bo$2303bo3b2o2bobo61bo2b2ob4o$2276b2obo31bobo10b 2o49bo4bo$2276b2ob3o30bo11b2o50b3obo2b2o$2282bo95b2o3b2o$2171bo11b2o 91b2ob3o$2170bobo10b2o92bobo$2162bo3b2o2bobo104bobo$2161bobo2bo2b2ob2o 104bo$2147b2o12bobo3bobo$2148bo13bob4o2bob2o$2148bobo13bo3bobob2o$ 2149b2o12bo3bobo$2162bo3bobo$2162b2o3bo4$2175b2o227b2o3b2o$2175b2o227b 2o2bob3o$2190b2o216bo4bo85bo$2189bo2bo211b4ob2o2bo67b2o14b5o$2190b2obo 210bo2bobobob2o67bo13bo5bo$2193bo213bobobobo68bobo12b3o2bo$2193b2o213b 2obobo69b2o15bob2o$2178b2o232bo84b4o2bo$2179bo312b2o3bo3b2o$2150b2o24b 3o219b2o92b2o4b3o$2150b2o11b2o11bo22bo199bo7b2o91bo$2163bo17b2o14b5o 197bobo5b2o91bob2o$2164b3o15bo13bo5bo197b2o97b2ob2o$2166bo15bobo12b3o 2bo$2183b2o15bob2o$2138b2o6b2o49b4o2bo287b2o$2138bo7bo45b2o3bo3b2o288b o$2139b3o5b3o42b2o4b3o291b3o$2141bo7bo50bo242bo50bo$2200bob2o206b2o31b 3o$2199b2ob2o206bo35bo$2411b3o19bo11b2o11b2o25bo$2130b2o281bo17b3o24b 2o24bobo$2130b2o3b2o54b2o237bo53bobo$2135b2o54bo238b2o51b2ob2o$2192b3o 220b2o62b2o$2194bo221bo62bobo$2122b2o12b2o278bob2o61bo$2123bo5b2o5bo 280bo2bo59bo3bo$2120b3o6b2o6b3o278b2o61b4o$2120bo18bo293b2o34b2o$2433b 2o33bobo12b2o$2122b2o3b2o339bo14b2o$2122b2o2bob3o336b2o$2126bo4bo$ 2122b4ob2o2bo310bo3b2o$2122bo2bobobob2o308bobo3bo$2125bobobobo308bobo 3bo12b2o$2126b2obobo304b2obobo3bo13bobo$2130bo305b2obo2b4obo13bo$2440b obo3bobo12b2o$2116b2o318b2ob2o2bo2bobo$2117bo7b2o310bobo2b2o3bo$2117bo bo5b2o298b2o10bobo$2118b2o305b2o11bo$2194b2o11bo$2194b2o10bobo$2206bob o2b2o3bo$2205b2ob2o2bo2bobo$2147bo61bobo3bobo12b2o$2145b3o57b2obo2b4ob o13bo$2128b2o14bo60b2obobo3bo13bobo$2128bo15b2o13b2o3b2o43bobo3bo12b2o $2129b3o27b2o2bob3o42bobo3bo$2108bo22bo31bo4bo42bo3b2o$2106b5o14b2o32b 4ob2o2bo$2105bo5bo13bo33bo2bobobob2o$2105bo2b3o12bobo36bobobobo$2104b 2obo15b2o38b2obobo33b2o$2104bo2b4o23b2o31bo34b2o$2105b2o3bo3b2o17bobo 5b2o44b2o$2107b3o4b2o17bo7b2o10b2o31bo2bo$2107bo24b2o20bo7b2o21bob2o$ 2104b2obo46bobo5b2o21bo$2080b2o3b2o17b2ob2o37bo8b2o27b2o$2080b2o2bob3o 53b2obobo51b2o$2084bo4bo51bobobobo51bo$2080b4ob2o2bo25b2o21bo2bobobob 2o33bo17b3o24b2o$2080bo2bobobob2o25bo21b4ob2o2bo32b3o19bo11b2o11b2o$ 2083bobobobo23b3o26bo4bo31bo35bo$2084b2obobo23bo24b2o2bob3o32b2o31b3o$ 2088bo49b2o3b2o20b2o45bo$2165bo$2074b2o71b2o17b3o62b2o6b2o$2075bo7b2o 63bo19bo63bo7bo$2075bobo5b2o63bobo78b3o5b3o$2076b2o71b2o78bo7bo$2169b 2o$2168bobo5b2o$2168bo7b2o$2162b2o3b2o78b2o$2162b2o78b2o3b2o$2119bo61b o60b2o$2086b2o31b3o55b2obobo$2086bo35bo53bobobobo$2087b3o19bo11b2o11b 2o37bo2bobobob2o57b2o12b2o$2089bo17b3o24b2o37b4ob2o2bo59bo5b2o5bo$ 2106bo70bo4bo56b3o6b2o6b3o$2106b2o65b2o2bob3o57bo18bo$2091b2o80b2o3b2o $2092bo$2092bob2o$2093bo2bo$2094b2o$2109b2o$2109b2o34b2o$2144bobo$ 2144bo15b2obo$2143b2o16bob3o$2118bo3b2o35bobo4bo$2117bobo3bo35b2o2b2ob o$2116bobo3bo12b2o27bobob2o$2112b2obobo3bo13bobo26bobob2o$2112b2obo2b 4obo13bo27bo$2116bobo3bobo12b2o$2112b2ob2o2bo2bobo$2113bobo2b2o3bo$ 2101b2o10bobo$2101b2o11bo3$2041bo$2039b5o14b2o$2038bo5bo13bo$2038bo2b 3o12bobo$2037b2obo15b2o$2037bo2b4o$2038b2o3bo3b2o$2040b3o4b2o$2040bo$ 2037b2obo$2037b2ob2o3$2048b2o$2049bo$2046b3o$2046bo71$3202b2o3b2o$ 3202b2o2bob3o$3206bo4bo$3202b4ob2o2bo$3202bo2bobobob2o$3205bobobobo$ 3206b2obobo$3210bo2$3196b2o$3197bo7b2o$3197bobo5b2o$3198b2o$2154bo$ 2154b3o$2157bo$2156b2o3$3208b2o$3208bo$3209b3o$3211bo$2166b2o$2159b2o 5bobo$2159b2o7bo$2168b2o2$2155bo$2154bobob2o$2154bobobobo$2153b2obobob o2bo$2154bo2b2ob4o$2154bo4bo$2155b3obo2b2o$2157b2o3b2o8$3141bo$3141b3o $3144bo$3143b2o$3359bo3bo3bo10bo3bo3bo10bo3bo3bo10bo3bo3bo10bo3bo3bo 10bo7bo$3358bobobobobobo8bobobobobobo8bobobobobobo8bobobobobobo8bobobo bobobo8bobo5bobo$3359bo3bo3bo10bo3bo3bo10bo3bo3bo10bo3bo3bo10bo3bo3bo 10bo7bo2$3359bo7bo10bo7bo10bo7bo14bo18bo14bo7bo$3358bobo5bobo8bobo5bob o8bobo5bobo12bobo16bobo12bobo5bobo$3359bo7bo10bo7bo10bo7bo14bo18bo14bo 7bo2$3359bo7bo10bo7bo10bo7bo14bo18bo14bo7bo14bo$3358bobo5bobo8bobo5bob o8bobo5bobo12bobo16bobo12bobo5bobo12bobo$3359bo7bo10bo7bo10bo7bo14bo 18bo14bo7bo14bo2$3359bo3bo3bo10bo3bo3bo10bo3bo18bo18bo14bo3bo3bo10bo3b o3bo$3358bobobobobobo8bobobobobobo8bobobobo16bobo16bobo12bobobobobobo 8bobobobobobo$3359bo3bo3bo10bo3bo3bo10bo3bo18bo18bo14bo3bo3bo10bo3bo3b o2$3359bo18bo7bo10bo7bo14bo18bo18bo18bo$3358bobo16bobo5bobo8bobo5bobo 12bobo16bobo16bobo16bobo$3359bo18bo7bo10bo7bo14bo18bo18bo18bo2$3359bo 18bo7bo10bo7bo14bo18bo18bo$3358bobo16bobo5bobo8bobo5bobo12bobo16bobo 16bobo$3359bo18bo7bo10bo7bo14bo18bo18bo2$3359bo18bo7bo10bo7bo10bo3bo3b o14bo18bo$3358bobo16bobo5bobo8bobo5bobo8bobobobobobo12bobo16bobo$3359b o18bo7bo10bo7bo10bo3bo3bo14bo18bo3$2492bo$2490b3o$2489bo$2489b2o3$ 2497b2ob2o$2498bob2o$2498bo$2490b2o4b3o$2490b2o3bo3b2o$2495b4o2bo$ 2481b2o15bob2o$2480bobo12b3o2bo$2480bo13bo5bo$2479b2o14b5o$2497bo49$ 2073bo$2071b5o14b2o$2070bo5bo13bo$2070bo2b3o12bobo$2069b2obo15b2o$ 2069bo2b4o979b2o$2070b2o3bo3b2o975bo42bo11b2o$2072b3o4b2o975bobo39bobo 10b2o$2072bo984b2o31bo3b2o2bobo$2069b2obo1016bobo2bo2b2ob2o$2069b2ob2o 1015bobo3bobo$3090bob4o2bob2o$3092bo3bobob2o$2080b2o1009bo3bobo$2081bo 1008bo3bobo$1837b2o3b2o234b3o1009b2o3bo$1835b3obo2b2o234bo997bo$1834bo 4bo1236b3o$1834bo2b2ob4o1235bo$1833b2obobobo2bo1234b2o23b2o$1834bobobo bo1262b2o$1834bobob2o1278b2o$1835bo1281bo2bo$3118b2obo$1848b2o1271bo$ 1839b2o7bo1272b2o$1839b2o5bobo1217b2o38b2o$1846b2o1217bo2bo38bo$3066b 2o36b3o$3091b2o11bo$3091bo$3063b2o17b2obo6b3o$3064bo17b2ob3o6bo$3061b 3o24bo$1836b2o1223bo20b2ob3o$1837bo1245bobo$1834b3o1240b2o4bobo$1834bo 1242bo6bo$3078b3o$3080bo17$3002b2o$3003bo42bo11b2o$3003bobo39bobo10b2o $3004b2o31bo3b2o2bobo$3036bobo2bo2b2ob2o$3036bobo3bobo$3037bob4o2bob2o $3039bo3bobob2o$3038bo3bobo$3037bo3bobo$3037b2o3bo$3023bo$3023b3o$ 3026bo$3025b2o23b2o$3050b2o$3065b2o$3064bo2bo$3065b2obo$3068bo$3068b2o $3013b2o38b2o$3012bo2bo38bo$3013b2o36b3o$3038b2o11bo$3038bo293bo$3010b 2o17b2obo6b3o266b2o20b3o$3011bo17b2ob3o6bo267bo19bo$3008b3o24bo273bobo 17b2o$3008bo20b2ob3o275b2o$3030bobo282bo$3024b2o4bobo281bobo$3024bo6bo 282bobo$3025b3o287bo$3027bo2$3053b2o3b2o$3053b2o2bob3o$3057bo4bo165b2o 3b2o$3053b4ob2o2bo165b2o2bob3o$3053bo2bobobob2o168bo4bo$3056bobobobo 165b4ob2o2bo87b2o$3057b2obobo165bo2bobobob2o66b2o18bo$3061bo169bobobob o66bobo16bobo$3232b2obobo66bo18b2o$3047b2o187bo66b2o$3048bo7b2o$3048bo bo5b2o164b2o84bob2o$3049b2o172bo7b2o73b3ob2o$3150b2o3b2o66bobo5b2o72bo $3150b2o2bob3o65b2o80b3ob2o$3154bo4bo148bobo$3150b4ob2o2bo148bobo$ 3150bo2bobobob2o148bo$3153bobobobo172b2o$3059b2o93b2obobo167b2o2bo2bo$ 3059bo98bo153b2o13bobo2b2o$3060b3o171b2o75bobo16b2o$3062bo81b2o71b2o 15bo76bo19bo$3145bo7b2o63bo16b3o72b2o16bo2bob2o$3145bobo5b2o63bobo16bo 89bobob2obo$3146b2o71b2o107bobo$3329bo2b2o$3330b2ob3o$3336bo$2307bo 924b2o96b2ob3o$2305b3o924b2o96b2obo$2304bo884bo$2303bobo850b2o31b3o 130b2o$2303bobo850bo35bo120b2o7b2o$2304bo852b3o19bo11b2o11b2o108bo$ 3159bo17b3o24b2o108bobo$3176bo138b2o$3176b2o$3161b2o$2288b2o872bo$ 2288b2o872bob2o169b2o$3163bo2bo168b2o$3164b2o$3179b2o$2308b2o869b2o34b 2o$2308bobo903bobo$2310bo903bo15b2obo86bo$2301b2o7b2o901b2o16bob3o83bo bo$2301b2o885bo3b2o35bobo4bo82bobo$3187bobo3bo35b2o2b2obo83bo$2291bob 2o891bobo3bo12b2o27bobob2o77b3o$2289b3ob2o19bo867b2obobo3bo13bobo26bob ob2o77bo$2288bo23b3o867b2obo2b4obo13bo27bo60bo$2289b3ob2o16bo874bobo3b obo12b2o85b5o14b2o$2291b2o2bo15b2o869b2ob2o2bo2bobo98bo5bo13bo$2294bob o886bobo2b2o3bo99bo2b3o12bobo$2291b3obobo873b2o10bobo106b2obo15b2o$ 2290bo2bo2bo874b2o11bo107bo2b4o$2289bobobo24b2o973b2o3bo3b2o$2288bobo 2b2o22bo2bo974b3o4b2o$2288bobobo2bobo20b2o975bo$2289b2ob2o2b2o994b2obo $3292b2ob2o$2321b2o$2290bo30bo$2290b3o29b3o978b2o$2293bo30bo979bo$ 2292b2o1007b3o$3301bo6$2290b2o$2289bobo6bo18b2o719bo11b2o$2289bo7bobo 5b2o10bo719bobo10b2o$2288b2o8bo6b2o11b3o708bo3b2o2bobo$2320bo626bo11b 2o67bobo2bo2b2ob2o$2946bobo10b2o53b2o12bobo3bobo$2938bo3b2o2bobo66bo 13bob4o2bob2o$2937bobo2bo2b2ob2o65bobo13bo3bobob2o$2923b2o12bobo3bobo 70b2o12bo3bobo$2924bo13bob4o2bob2o79bo3bobo$2924bobo13bo3bobob2o79b2o 3bo$2925b2o12bo3bobo$2938bo3bobo$2938b2o3bo229bo$3042b2o111b2o14b5o$ 3042b2o112bo13bo5bo$3057b2o97bobo12b3o2bo$2951b2o103bo2bo97b2o15bob2o$ 2951b2o104b2obo110b4o2bo$2966b2o92bo93bo11b2o3bo3b2o$2965bo2bo91b2o90b 3o11b2o4b3o$2966b2obo75b2o104bo22bo$2969bo76bo104b2o21bob2o$2969b2o46b 2o24b3o127b2ob2o$2954b2o61b2o11b2o11bo$2955bo74bo$2926b2o24b3o76b3o 131b2o$2926b2o11b2o11bo80bo131bo$2939bo226b3o$2864bo75b3o70b2o126b2o 25bo$2864b3o75bo70bo126bobo5b2o$2867bo146b3o123bo7b2o$2866b2o46b2o6b2o 92bo122b2o224bo$2914bo7bo424b2o14b5o$2891b2o22b3o5b3o227bo194bo13bo5bo 185bo$2891bo25bo7bo223b2obobo193bobo12b3o2bo183b3o$2889bobo105b2o149bo bobobo194b2o15bob2o181bo$2889b2o106b2o3b2o141bo2bobobob2o207b4o2bo181b 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Pattern type Miscellaneous
Number of cells 30167
Bounding box 4700 × 4491
Static symmetry C1
Discovered by David Bell
Year of discovery 2017

Collatz 5N+1 simulator is a pattern with unknown fate constructed by David Bell in December 2017.[1]

It simulates the "Collatz 5N+1" algorithm by generating an integer sequence according to the rules:

  • if the previous term is even, the next term is one half of the previous term;
  • if the previous term is odd, the next term is 5 times the previous term plus 1.

When starting with the value of 7, it is currently unknown whether or not the sequence ever forms a cycle;[2] the trajectory can be found at Sloane's OEISicon light 11px.pngA259193, starting from the 5th term.

The simulator uses sliding block memory and stable technology, the population of which is always below 32000. Depending on the behaviour of the sequence, the pattern may become stable, or become a high-period oscillator, or have a bounding box which grows irregularly.

The "5N+1 problem" is a variant of the classical 3N+1 formulation of the Collatz conjecture. It is possible to modify the 5N+1 simulator to simulate the 3N+1 sequence.[3]

References

  1. David Bell (December 10, 2017). Life object having a bounded population with an unknown fate (discussion thread) at the ConwayLife.com forums
  2. Alex V. Kontorovich, Jeffrey C. Lagarias (11 Oct 2009). "Stochastic Models for the 3x+1 and 5x+1 Problems". arXiv.
  3. Dave Greene (December 12, 2017). Re: Life object having a bounded population with an unknown fate (discussion thread) at the ConwayLife.com forums

External links