by **AbhpzTa** » November 1st, 2017, 1:53 pm

Replicator-based (1,1)c/12 p192 mod96 spaceship:

`x = 703, y = 694, rule = B36/S23`

352bo$343bo7b2o$343bo6b2ob2o$343bo5bo4bo$348bo6b2o$347b2o5b2o$346b2o6b

o$348bo4bo$348b2ob2o$350b2o$350bo22$384bo$383b2o$382b2ob2o$381bo4bo$

380bo6b2o$379b2o5b2o$378b2o6bo$380bo4bo$380b2ob2o$382b2o$382bo27bo$

405b3o3bo$404bo$404bo$404bo2bo2bo$410bo$410bo$403bo3b3o$404bo8$426bo$

421b3o3bo$420bo$420bo$420bo2bo2bo$426bo$426bo$419bo3b3o$420bo8$442bo$

437b3o3bo$436bo$436bo$436bo2bo2bo$366b2o74bo$367b2o5bobo65bo$366bo10bo

57bo3b3o$373bo3bo58bo$377bo$374bo2bo$375b3o8$461bo$460bobo$460b2o3$

462bo$455b2o5bo3bo$454bobo5bo3bo$455bo3b6obo$462bo$462bo2$460b3o30$

500b3o2$500bo$500bo114bo$496bob6o111bo$496bo3bo114bo$496bo3bo$500bo$

334b2o$335b2o$334bo8$627bo$626b2o$625bobo3bo$624b3o4bo$496bobo$496b2o$

497bo$358bobo265b2o$361bo$357bo3bo$361bo$358bo2bo$359b3o$641b2o4$637bo

4b3o$637bo3bobo$641b2o$641bo16$432bobo$432b2o$433bo2$551b3o$550bo5b2o$

550bo4bo$550bo2$552bo$551bo$551bo62bo$614bobo$614b2o2$567bo$567bo$566b

o$302b2o364b2o$303b2o263bo100b2o$302bo260bo4bo97bob2o$561b2o5bo97b3o$

565b3o99bo10$368bobo$368b2o$369bo16$701bo$342bobo355b3o$345bo353b2obo$

341bo3bo352b2o$345bo353b2o$342bo2bo$343b3o7$683bo$304bobo374bo3bo$304b

2o380bo$305bo375bo4bo$682b5o12$603bo$601bo3bo$606bo$270b2o329bo4bo$

271b2o329b5o$270bo11$523bo$240bobo278bo3bo$240b2o284bo$241bo279bo4bo$

522b5o12$443bo$441bo3bo$446bo$441bo4bo$442b5o12$363bo$176bobo182bo3bo$

176b2o188bo$177bo183bo4bo$326bobo33b5o$329bo$325bo3bo$329bo$326bo2bo$

327b3o7$283bo$281bo3bo$286bo$238b2o41bo4bo$239b2o41b5o$238bo11$203bo$

112bobo86bo3bo$2b3o5b3o99b2o92bo$113bo87bo4bo$obobobo195b5o$o5bo$obobo

bo2$2b3o8$123bo$121bo3bo$126bo$121bo4bo$122b5o$31bo$30b2o$29b2ob2o$28b

o4bo$27bo6b2o$26b2o5b2o$25b2o6bo$27bo4bo$27b2ob2o$29b2o$29bo2$39bo8bob

o$30b2obo6b5o3b2o$30b2obo10bo4bo$25b2o3b2o12bo$24bob2ob3o$27b2ob2o$23b

2o3b3o$22b2o3b3o2$26bo2bo3$28b2o6$206b2o$207b2o101bobo$206bo106bo$309b

o3bo$313bo$310bo2bo$311b3o21$74bo$69b3o3bo$68bo$68bo$68bo2bo2bo$74bo$

74bo$67bo3b3o$68bo8$90bo$85b3o3bo$84bo$84bo$84bo2bo2bo$90bo$90bo$83bo

3b3o$84bo13$174b2o$175b2o$174bo9$118bo$118bo3bo$118bo3bo$115b6obo$118b

o$118bo$294bobo$116b3o178bo$293bo3bo$297bo$294bo2bo$295b3o18$148b3o2$

148bo$148bo$144bob6o$144bo3bo$144bo3bo$148bo15$171b3o$170bo5b2o$170bo

4bo$170bo2$172bo$171bo$171bo4$187bo$187bo$186bo2$188bo$183bo4bo$181b2o

5bo$185b3o14$203b3o$202bo5b2o$202bo4bo$202bo75bobo$281bo$204bo72bo3bo$

203bo77bo$203bo74bo2bo$279b3o3$219bo$219bo$218bo2$220bo$215bo4bo$213b

2o5bo$217b3o6$217b3o$219bo$218bo22$142bobo$142bo2bo$142bobo5$147b2o2$

139b3o2$143bo4b3o$143bo3bobo$147b2o$147bo12$165bo$164b2o$163bobo3bo$

162b3o4bo4$164b2o2$262bobo$182bo82bo$180b3o78bo3bo$265bo$179bo82bo2bo$

179bo2bo2b3o75b3o$179bo2bo4bo$179b3o4bo$175bo6bo$175bobo$178bo$179bo

38$235bo$234b3o$233b2obo$232b2o$233b2o!

EDIT: Replicator-based (1,1)c/30 p120 mod120 in-a-column spaceship:

`x = 292, y = 292, rule = B36/S23`

b3o7b3o$o5b2o3bo$o4bo6bo$o2$2bo$bo$bo4$17bo$17bo$16bo9$23bo$23bo$16bo

5bo$15bo$15bo8bo12b3o$19bo4bo12bo$17b2o5bo13bo$21b3o23$63b3o$63bo$64bo

8$57b3o$56bo5b2o$56bo4bo$56bo2$58bo$57bo$57bo4$73bo$73bo$72bo2$74bo$

69bo4bo14b3o$67b2o5bo14bo$71b3o16bo6$81b3o$80bo5b2o$80bo4bo$80bo8bo$

89bo$82bo5bo$81bo$81bo8bo$85bo4bo$83b2o5bo$87b3o6$101b3o$100bo2bo$99bo

3bo11b3o$99bo2bo12bo$99b3o14bo4$109b3o$108bo2bo$107bo3bo$107bo2bo$107b

3o12$125b3o$124bo2bo$123bo3bo$123bo2bo$123b3o15b3o$141bo$142bo2$133b3o

$132bo2bo$131bo3bo$131bo2bo$131b3o11$163bo$162b2o$161bobo3bo$160b3o4bo

2$169b2o2$162b2o2$165bo4b3o$165bo3bobo$169b2o$169bo4$179bo$178b2o$177b

obo3bo$176b3o4bo4$178b2o14$201b2o4$203bo$201bobo$202b2o2$195bo2$192bo$

191bo$192bo12$209b3o$208bo2bo$207bo3bo$207bo2bo$207b3o9$213b3o$212bo2b

o21bo$211bo3bo19bobo$211bo2bo21b2o$211b3o12$229b3o$228bo2bo$227bo3bo$

227bo2bo$227b3o9$243bo$242b2o$241b2ob2o$240bo4bo$239bo6b2o$238b2o5b2o$

237b2o6bo25bo$239bo4bo24bobo$239b2ob2o26b2o$241b2o22bo$241bo21b2obo$

262bo2b2o$262bob3o$262b5o$264b2o$273bo$272b2o$271b2ob2o$270bo4bo$257b

2o10bo6b2o$256b5o7b2o5b2o$256b3obo6b2o6bo$256b2o2bo8bo4bo$256bob2o9b2o

b2o$257bo13b2o$271bo9$290bo$289b3o$287bo2b2o$286bo3bo$287bobo$288bo!

Iteration of sigma(n)+tau(n)-n [sigma(n)+tau(n)-n : OEIS A163163] (e.g. 16,20,28,34,24,44,46,30,50,49,11,3,3, ...) :

965808 is period 336 (max = 207085118608).