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 A162458 In Conway's Game of Life, the length of the shortest pattern of width n to exhibit infinite growth. 0
 39, 12, 9, 7, 5, 5, 4, 4, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS a(n) = 1 for n >= 39. a(1), a(5) and a(n) for n >= 39 were computed by Paul Callahan in 1998. The rest of the terms were computed in 2009. LINKS n-Cell Thick Patterns (1) at Infinite Growth n-Cell Thick Patterns & Infinite Growth at ConwayLife.com forums One Cell Thick Pattern at LifeWiki EXAMPLE a(5) = 5 because there is an infinitely-growing pattern that fits in a 5x5 box, but no infinitely-growing pattern that fits in a 5x4 box. CROSSREFS Sequence in context: A181016 A103479 A036174 * A097439 A196092 A196089 Adjacent sequences:  A162455 A162456 A162457 * A162459 A162460 A162461 KEYWORD nonn AUTHOR Nathaniel Johnston, Jul 04 2009 STATUS approved

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Last modified February 24 13:05 EST 2020. Contains 332209 sequences. (Running on oeis4.)