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Search: id:A005116
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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
1
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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
(list; graph; listen)
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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, A Fibonacci lattice, Fib. Quart., 13 (1975), 215-232.
R. P. Stanley, Ordered structures and partitions, Memoirs of the Amer. Math. Soc., no. 119 (1972).
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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 (deutsch(AT)duke.poly.edu), 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); (Deutsch)
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CROSSREFS
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Sequence in context: A131913 A005406 A005407 this_sequence A121349 A074890 A032198
Adjacent sequences: A005113 A005114 A005115 this_sequence A005117 A005118 A005119
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), R. P. Stanley
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EXTENSIONS
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More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Dec 19 2004
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