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Search: id:A123975
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| A123975 |
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Number of Garden of Eden partitions of n in Bulgarian Solitaire. |
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+0
1
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| 0, 0, 1, 1, 2, 3, 5, 7, 10, 14, 20, 27, 37, 49, 66, 86, 113, 147, 190, 243, 311, 394, 499, 627, 786, 980, 1220, 1510, 1865, 2294, 2816, 3443, 4202, 5110, 6203, 7507, 9067, 10923, 13135, 15755, 18865, 22540, 26885, 32001, 38032, 45112, 53430, 63171
(list; graph; listen)
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OFFSET
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1,5
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LINKS
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Brian Hopkins and Michael A. Jones, Shift-induced dynamical systems on partitions and compositions.
Brian Hopkins and James A. Sellers, Exact enumeration of Garden of Eden partitions.
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FORMULA
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a(n) = A064173(n)-A101198(n).
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MAPLE
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p:=product(1/(1-q^i), i=1..200)*sum((-1)^(r-1)*q^((3*r^2+3*r)/2), r=1..200):s:=series(p, q, 200): for j from 0 to 199 do printf(`%d, `, coeff(s, q, j)) od: - James A. Sellers (sellersj(AT)math.psu.edu), Nov 30 2006
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CROSSREFS
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Sequence in context: A104503 A027340 A000701 this_sequence A094984 A107332 A002062
Adjacent sequences: A123972 A123973 A123974 this_sequence A123976 A123977 A123978
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KEYWORD
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easy,nonn
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AUTHOR
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Vladeta Jovovic (vladeta(AT)eunet.rs), Nov 23 2006
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EXTENSIONS
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More terms from James A. Sellers (sellersj(AT)math.psu.edu), Nov 30 2006
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