A265321 Total number of ON (black) cells after n iterations of the "Rule 110" elementary cellular automaton starting with a single ON (black) cell.

1, 3, 6, 9, 14, 17, 22, 28, 36, 41, 47, 55, 63, 71, 82, 93, 106, 115, 126, 137, 150, 164, 180, 194, 208, 221, 234, 251, 273, 293, 309, 326, 350, 369, 383, 402, 427, 445, 465, 490, 514, 533, 557, 588, 615, 641, 665, 687, 719, 750, 778, 802, 831, 865, 895, 926

Offset

0,2

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

Mathematica

rule = 110; rows = 30; Table[Total[Take[Table[Total[Table[Take[CellularAutomaton[rule, {{1}, 0}, rows-1, {All, All}][[k]], {rows-k+1, rows+k-1}], {k, 1, rows}][[k]]], {k, 1, rows}], k]], {k, 1, rows}]

Crossrefs

Cf. A075437.

Sequence in context: A310163 A310164 A267295 * A187263 A230876 A000791

Adjacent sequences: A265318 A265319 A265320 * A265322 A265323 A265324

Keyword

nonn,easy

Author

Robert Price, Dec 06 2015

Status

approved