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A267365

Decimal representation of the n-th iteration of the "Rule 126" elementary cellular automaton starting with a single ON (black) cell.

1, 7, 27, 127, 387, 1935, 6579, 32767, 98307, 491535, 1671219, 8356095, 25264899, 126324495, 429503283, 2147483647, 6442450947, 32212254735, 109521666099, 547608330495, 1655709893379, 8278549466895, 28147068187443, 140735340937215, 422218907713539

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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. 3.

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=126; 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. A071035.

Sequence in context: A327623 A269070 A147996 * A034536 A283538 A214459

Adjacent sequences: A267362 A267363 A267364 * A267366 A267367 A267368

KEYWORD

nonn,easy

AUTHOR

Robert Price, Jan 13 2016

STATUS

approved