login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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

Table of n, a(n) for n=1..109.

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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

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