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

Author

Robert Price, Dec 06 2015

Keywords

• nonn
• easy

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. A075437.

Programs

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}]