cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A006978 Successive states of the Rule 110 cellular automaton defined by 000, 001, 010, 011, ..., 111 -> 0,1,1,1,0,1,1,0 when started with a single ON cell.

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%I A006978 M2642 #40 Jul 08 2025 16:58:19
%S A006978 1,3,7,13,31,49,115,215,509,775,1805,3359,7985,12659,29655,54909,
%T A006978 130759,197581,460383,855793,2038675,3227319,7562237,14149127,
%U A006978 33304077,50625055,118279729,220060275,523730647,830325757,1942439431,3595423245,8571017759,12951092785
%N A006978 Successive states of the Rule 110 cellular automaton defined by 000, 001, 010, 011, ..., 111 -> 0,1,1,1,0,1,1,0 when started with a single ON cell.
%D A006978 Marc LeBrun, personal communication.
%D A006978 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
%H A006978 Paolo Xausa, <a href="/A006978/b006978.txt">Table of n, a(n) for n = 1..1000</a>
%H A006978 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/Rule110.html">Rule 110</a>
%H A006978 <a href="/index/Ce#cell">Index entries for sequences related to cellular automata</a>
%F A006978 a(n) = A117999(n-1)/2^(n-1). - _Pontus von Brömssen_, Oct 18 2022
%t A006978 Map[FromDigits[#, 2] &, CellularAutomaton[110, {{1}, 0}, 30]] (* _Ben Branman_, Dec 28 2010 *)
%Y A006978 Cf. A070887, A117999.
%K A006978 nonn
%O A006978 1,2
%A A006978 _N. J. A. Sloane_
%E A006978 More terms from _Eric W. Weisstein_, Apr 11 2006
%E A006978 Definition clarified by _N. J. A. Sloane_, Oct 18 2022