A267517 Total number of ON (black) cells after n iterations of the "Rule 137" elementary cellular automaton starting with a single ON (black) cell.

1, 1, 3, 5, 11, 17, 24, 31, 43, 56, 69, 84, 101, 117, 135, 153, 177, 201, 227, 253, 280, 307, 338, 371, 407, 445, 481, 514, 551, 594, 638, 677, 723, 776, 826, 872, 927, 982, 1034, 1089, 1151, 1210, 1264, 1324, 1387, 1454, 1525, 1588, 1654, 1725, 1802, 1876

Offset

0,3

References

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

Links

Robert Price, Table of n, a(n) for n = 0..1000

Eric Weisstein's World of Mathematics, Elementary Cellular Automaton

S. Wolfram, A New Kind of Science

Index entries for sequences related to cellular automata

Index to Elementary Cellular Automata

Mathematica

rule=137; rows=20; ca=CellularAutomaton[rule, {{1}, 0}, rows-1, {All, All}]; (* Start with single black cell *) catri=Table[Take[ca[[k]], {rows-k+1, rows+k-1}], {k, 1, rows}]; (* Truncated list of each row *) nbc=Table[Total[catri[[k]]], {k, 1, rows}]; (* Number of Black cells in stage n *) Table[Total[Take[nbc, k]], {k, 1, rows}] (* Number of Black cells through stage n *)

Crossrefs

Cf. A267463.

Sequence in context: A200748 A063693 A258713 * A309427 A211435 A049752

Adjacent sequences: A267514 A267515 A267516 * A267518 A267519 A267520

Keyword

nonn,easy

Author

Robert Price, Jan 16 2016

Status

approved