A265703 Number of OFF (white) cells in the n-th iteration of the "Rule 135" elementary cellular automaton starting with a single ON (black) cell.

0, 1, 3, 3, 6, 4, 9, 5, 12, 7, 12, 11, 14, 12, 19, 13, 22, 15, 19, 20, 24, 21, 23, 23, 28, 26, 27, 26, 33, 30, 34, 31, 39, 26, 39, 29, 46, 32, 44, 38, 45, 47, 41, 45, 49, 38, 55, 42, 51, 44, 53, 43, 59, 52, 60, 49, 65, 57, 60, 56, 69, 61, 70, 59, 78, 64, 56

Offset: 0

Author

Robert Price, Dec 13 2015

Keywords

• nonn
• easy

Comments

This appears to be (apart from the initial zero and an index shift) the same as A070952. - R. J. Mathar, Dec 16 2015

Presumably that will not be difficult to prove. - N. J. A. Sloane, Jan 09 2016

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. A070952, A265695.