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 A152389 Number of steps in Conway's Game of Life for a row of n cells to stabilize. 5
 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, 93, 24, 28, 33, 36, 103, 148, 60, 580, 42, 57, 91, 106, 262, 276, 49, 209, 57, 52, 56, 97, 54, 168, 194, 811, 103, 52, 52, 83, 57, 79, 246, 416, 62, 62, 312, 115, 116 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,5 COMMENTS 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. LINKS Eric M. Schmidt, Table of n, a(n) for n = 0..1000 LifeWiki, One cell thick pattern Eric M. Schmidt, C++ code to compute this sequence Eric Weisstein's World of Mathematics, Game of Life EXAMPLE From Eric M. Schmidt, Aug 15 2012: (Start) A 10-cell straight line evolves into a periodic pattern (the pentadecathlon) in two steps. Therefore a(10) = 2. (Based on example in A098720) 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. 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) CROSSREFS Cf. A098720, A152301. Cf. A061342. Sequence in context: A261978 A236264 A152301 * A114103 A334308 A242336 Adjacent sequences: A152386 A152387 A152388 * A152390 A152391 A152392 KEYWORD nonn AUTHOR N. J. A. Sloane, Oct 23 2009, based on a posting by Allan C. Wechsler to the Math Fun Mailing List. EXTENSIONS More terms and definition changed by Eric M. Schmidt, Aug 15 2012 STATUS approved

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Last modified March 1 02:07 EST 2024. Contains 370429 sequences. (Running on oeis4.)