A267609 Decimal representation of the n-th iteration of the "Rule 182" elementary cellular automaton starting with a single ON (black) cell.

1, 7, 21, 127, 381, 1911, 5461, 32767, 98301, 491511, 1408981, 8355711, 25001341, 125269879, 357913941, 2147483647, 6442450941, 32212254711, 92341796821, 547608330111, 1638530022781, 8209829984119, 23456963876181, 140735340838911, 422201727483901

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..1000

A. J. Macfarlane, Generating functions for integer sequences defined by the evolution of cellular automata..., Fig. 2.

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=182; 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 *) Table[FromDigits[catri[[k]], 2], {k, 1, rows}]   (* Decimal Representation of Rows *)

Crossrefs

Cf. A071038.

Sequence in context: A321521 A061961 A028248 * A032032 A084711 A183938

Adjacent sequences: A267606 A267607 A267608 * A267610 A267611 A267612

Keyword

nonn,easy

Author

Robert Price, Jan 18 2016

Status

approved