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A005116
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Number of protruded partitions of n with largest part at most 10.
(Formerly M2571)
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0
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1, 3, 6, 13, 25, 50, 94, 178, 328, 601, 1083, 1940, 3436, 6047, 10558, 18326, 31614, 54265, 92683, 157626, 266985, 450580, 757851, 1270757, 2124721, 3543318, 5894831, 9785243, 16210036, 26802756, 44240560, 72906608, 119969779
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OFFSET
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1,2
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
R. P. Stanley, Ordered structures and partitions, Memoirs of the Amer. Math. Soc., no. 119 (1972).
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LINKS
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FORMULA
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G.f.: (1-x)^10/Product(1-x-x^i+x^(1+2*i), i=1..10)-1. - Emeric Deutsch, Dec 19 2004
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MAPLE
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G:=(1-x)^10/Product(1-x-x^i+x^(1+2*i), i=1..10)-1: Gser:=series(G, x=0, 39): seq(coeff(Gser, x^n), n=1..37); # Emeric Deutsch, Dec 19 2004
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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