A262859 Binary representation of the n-th iteration of the "Rule 145" elementary cellular automaton starting with a single ON (black) cell.

1, 1, 1001, 1001, 11001001, 1001001, 111001001001, 101001001001, 1100001001001001, 111001001001001, 11100101001001001001, 10100001001001001001, 110000111001001001001001, 11100101001001001001001, 1110010100001001001001001001, 1010000111001001001001001001

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 +1000*x^2 -1000*x^3 -89000000*x^4 -11000000*x^5 +11000000000*x^6 +79000000000*x^7 -90000000000*x^8) / ((1 -x)*(1 -10*x)*(1 -100*x)*(1 +100*x)*(1 +10*x +100*x^2)*(1 +10000*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]]], {k, 1, rows}]   (* Binary Representation of Rows *)

Crossrefs

Cf. A262805.

Sequence in context: A282520 A282955 A282985 * A044881 A291269 A317291

Adjacent sequences: A262856 A262857 A262858 * A262860 A262861 A262862

Keyword

nonn,easy

Author

Robert Price, Jan 17 2016

Status

approved