A265704 Total number of OFF (white) cells after n iterations of the "Rule 135" elementary cellular automaton starting with a single ON (black) cell.

0, 1, 4, 7, 13, 17, 26, 31, 43, 50, 62, 73, 87, 99, 118, 131, 153, 168, 187, 207, 231, 252, 275, 298, 326, 352, 379, 405, 438, 468, 502, 533, 572, 598, 637, 666, 712, 744, 788, 826, 871, 918, 959, 1004, 1053, 1091, 1146, 1188, 1239, 1283, 1336, 1379, 1438

Offset: 0

Author

Robert Price, Dec 13 2015

Keywords

• nonn
• easy

Comments

This is (apart from an index shift) the same as A110267. The reason is that Rule 135 is obtained from Rule 30 by inverting both colors of the 4 cells correlated by the rules. - R. J. Mathar, Dec 16 2015

References

• S. Wolfram, A New Kind of Science, Wolfram Media, 2002; p. 55.

Links

• Robert Price, Table of n, a(n) for n = 0..999
• Eric Weisstein's World of Mathematics, Elementary Cellular Automaton
• Index entries for sequences related to cellular automata
• Index to Elementary Cellular Automata

Crossrefs

Cf. A110267 (essentially the same sequence), A265695.