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 A152389 #45 Jul 09 2025 04:30:20 %S A152389 0,1,1,0,2,6,12,14,48,20,2,15,15,24,28,40,32,24,20,25,20,19,35,30,28, %T A152389 93,24,28,33,36,103,148,60,580,42,57,91,106,262,276,49,209,57,52,56, %U A152389 97,54,168,194,811,103,52,52,83,57,79,246,416,62,62,312,115,116 %N A152389 Number of steps in Conway's Game of Life for a row of n cells to stabilize. %C A152389 A pattern is said to have stabilized if it consists entirely of a (possibly empty) periodic component and zero or more spaceships, such that the spaceships will never interact with each other or with the periodic part. %H A152389 Eric M. Schmidt, <a href="/A152389/b152389.txt">Table of n, a(n) for n = 0..1000</a> %H A152389 LifeWiki, <a href="https://www.conwaylife.com/wiki/One-cell-thick_pattern">One cell thick pattern</a> %H A152389 Eric M. Schmidt, <a href="/A152389/a152389_3.cpp.txt">C++ code to compute this sequence</a> %H A152389 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/GameofLife.html">Game of Life</a> %e A152389 From _Eric M. Schmidt_, Aug 15 2012: (Start) %e A152389 A 10-cell straight line evolves into a periodic pattern (the pentadecathlon) in two steps. Therefore a(10) = 2. (Based on example in A098720) %e A152389 A 33-cell straight line evolves, in 387 steps, into a pattern consisting of a periodic component and four gliders. The pattern has not yet stabilized since the gliders will eventually collide. %e A152389 A 56-cell straight line evolves, in 246 steps, into a pattern consisting of a periodic component and four gliders. The gliders will never collide with each other or with the periodic component, so the pattern has stabilized. Thus, a(56) = 246. (End) %Y A152389 Cf. A098720, A152301. %Y A152389 Cf. A061342. %K A152389 nonn %O A152389 0,5 %A A152389 _N. J. A. Sloane_, Oct 23 2009, based on a posting by _Allan C. Wechsler_ to the Math Fun Mailing List %E A152389 More terms and definition changed by _Eric M. Schmidt_, Aug 15 2012