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A019473
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Number of stable n-celled patterns ("still lifes") in Conway's game of Life.
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11
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0, 0, 0, 2, 1, 5, 4, 9, 10, 25, 46, 121, 240, 619, 1353, 3286, 7773, 19044, 45759, 112243, 273188, 672172, 1646147, 4051711
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refs;
listen;
history;
text;
internal format)
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OFFSET
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1,4
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LINKS
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Table of n, a(n) for n=1..24.
N. D. Elkies, [math/9905194] The still-Life density problem and its generalizations
H. Koenig, Stable Objects (another version of this sequence)
Mark D. Niemiec, Life Object Counts
R. C. Schroeppel, A few mathematical experiments
Eric Weisstein's World of Mathematics, Life
R. Munafo, Still-Lifes with N cells in Conway's game of Life
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EXAMPLE
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a(4)=2 because the block and the tub are the only 4-cell still lifes.
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CROSSREFS
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Cf. A056613, A056614, A056605.
Sequence in context: A176053 A207480 A166517 * A056605 A091802 A144240
Adjacent sequences: A019470 A019471 A019472 * A019474 A019475 A019476
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KEYWORD
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hard,nonn,nice
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AUTHOR
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Robert Munafo
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EXTENSIONS
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More terms from Stephen A. Silver, Dec 11 1999
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STATUS
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approved
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