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Search: id:A098132
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| A098132 |
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Number of compositions of n where the smallest part is greater than the number of parts. |
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+0
1
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| 0, 1, 1, 1, 1, 2, 3, 4, 5, 6, 7, 9, 12, 16, 21, 27, 34, 42, 51, 62, 76, 94, 117, 146, 182, 226, 279, 342, 416, 503, 606, 729, 877, 1056, 1273, 1536, 1854, 2237, 2696, 3243, 3891, 4655, 5553, 6607, 7844, 9297, 11006, 13019, 15393, 18195, 21503, 25407, 30010
(list; graph; listen)
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OFFSET
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1,6
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FORMULA
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G.f.: Sum(x^(k^2+k)/(1-x)^k, k=0..infinity).
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EXAMPLE
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a(11)=7 because we have: 11, 8+3, 3+8, 7+4, 4+7, 6+5, and 5+6.
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MAPLE
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G:=sum(x^(k^2+k)/(1-x)^k, k=0..20):Gser:=series(G, x=0, 67):seq(coeff(Gser, x^n), n=1..65); (Deutsch)
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CROSSREFS
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Cf. A003106, A003114, A077229.
Sequence in context: A059759 A042952 A126327 this_sequence A017900 A005708 A085793
Adjacent sequences: A098129 A098130 A098131 this_sequence A098133 A098134 A098135
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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.yu), Sep 27 2004
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EXTENSIONS
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More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Mar 29 2005
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