A117999 Decimal number generated by the binary bits of the n-th generation of the Rule 110 elementary cellular automaton.

1, 6, 28, 104, 496, 1568, 7360, 27520, 130304, 396800, 1848320, 6879232, 32706560, 103702528, 485867520, 1799258112, 8569421824, 25897336832, 120686641152, 448682000384, 2137705676800, 6768178495488, 31718320898048, 118691479945216, 558749693509632

Offset: 0

Author

Eric W. Weisstein, Apr 08 2006

Keywords

• nonn
• base

Examples

			1;  1, 1, 0;  1, 1, 1, 0, 0;  1, 1, 0, 1, 0, 0, 0;  1, 1, 1, 1, 1, 0, 0, 0, 0; ...
		

Links

• Paolo Xausa, Table of n, a(n) for n = 0..1000
• Eric Weisstein's World of Mathematics, Rule 110

Crossrefs

Cf. A006978.

Programs

Mathematica

A117999list[nmax_]:=MapIndexed[FromDigits[ArrayPad[#1,#2-nmax-1],2]&,CellularAutomaton[110,{{1},0},{nmax,All}]];A117999list[25] (* Paolo Xausa, Oct 04 2023 *)

Formula

a(n) = A006978(n+1)*2^n. - Pontus von Brömssen, Oct 18 2022