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

Author

Robert Price, Jan 18 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. 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

Crossrefs

Cf. A071038.

Programs

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 *)