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

0,2

Links

Paolo Xausa, Table of n, a(n) for n = 0..1000

Eric Weisstein's World of Mathematics, Rule 110

Formula

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

Example

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; ...

Mathematica

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

Crossrefs

Cf. A006978.

Sequence in context: A134416 A266976 A352739 * A234617 A028379 A332751

Adjacent sequences: A117996 A117997 A117998 * A118000 A118001 A118002

Keyword

nonn,base

Author

Eric W. Weisstein, Apr 08 2006

Status

approved