A262860 Decimal representation of the n-th iteration of the "Rule 145" elementary cellular automaton starting with a single ON (black) cell.

1, 1, 9, 9, 201, 73, 3657, 2633, 49737, 29257, 938569, 660041, 12816969, 7508553, 240161353, 169644617, 3281293897, 1921290825, 61486699081, 43430220361, 840004047433, 491893592649, 15740604551753, 11118078890569, 215041381274185, 125924836414025

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

Formula

Empirical g.f.: (1 +8*x^2 -8*x^3 -64*x^4 -192*x^5 +1536*x^6 -512*x^7 -1024*x^8) / ((1 -x)*(1 -2*x)*(1 -4*x)*(1 +4*x)*(1 +2*x +4*x^2)*(1 +16*x^2)). - Colin Barker, Jan 17 2016 and Apr 17 2019

Mathematica

rule=145; 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. A262805.

Sequence in context: A121389 A065242 A050720 * A335026 A353182 A171738

Adjacent sequences: A262857 A262858 A262859 * A262861 A262862 A262863

Keyword

nonn,easy

Author

Robert Price, Jan 17 2016

Status

approved