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.
%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