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A019473 Number of stable n-celled patterns ("still lifes") in Conway's game of Life. 12
0, 0, 0, 2, 1, 5, 4, 9, 10, 25, 46, 121, 240, 619, 1353, 3286, 7773, 19044, 45759, 112243, 273188, 672172, 1646147, 4051732, 9971377, 24619307, 60823008, 150613157, 373188952, 926068847 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

LINKS

Table of n, a(n) for n=1..30.

S. Ekstrom, Enumerating Still Lifes (in C)

N. D. Elkies, [math/9905194] The still-Life density problem and its generalizations, arXiv:math/9905194 [math.CO], 1999.

H. Koenig, Stable Objects (another version of this sequence)

R. Munafo, Still-Lifes with N cells in Conway's game of Life

Mark D. Niemiec, Life Object Counts

R. C. Schroeppel, A few mathematical experiments

Eric Weisstein's World of Mathematics, Life

EXAMPLE

a(4)=2 because the block and the tub are the only 4-cell still lifes.

CROSSREFS

Cf. A056613, A056614, A056605.

Sequence in context: A259791 A207480 A166517 * A056605 A091802 A144240

Adjacent sequences:  A019470 A019471 A019472 * A019474 A019475 A019476

KEYWORD

hard,nonn,nice

AUTHOR

Robert Munafo

EXTENSIONS

More terms from Stephen A. Silver, Dec 11 1999

a(24) corrected, at the suggestion of Mark Niemiec, by Nathaniel Johnston, Aug 26 2016

a(24) - a(28) corrected, using data computed by Simon Ekstrom, by Adam P. Goucher, Jan 08 2017

STATUS

approved

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Last modified April 26 21:49 EDT 2017. Contains 285471 sequences.