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

Offset: 0

Author

Robert Price, Jan 13 2016

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..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

Crossrefs

Cf. A071035.

Programs

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 *)