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Search: id:A005406
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| A005406 |
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Number of protruded partitions of n with largest part at most 5.
(Formerly M2569)
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+0
1
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| 1, 3, 6, 13, 25, 49, 91, 170, 309, 558, 992, 1752, 3062, 5317, 9166, 15712, 26784, 45447, 76775, 129203, 216662, 362177, 603671, 1003566, 1664389, 2754382, 4549207, 7500096, 12344840, 20288723, 33298979, 54584077, 89373081, 146182754
(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)^5/Product(1-x-x^i+x^(1+2*i), i=1..5)-1. - Emeric Deutsch (deutsch(AT)duke.poly.edu), Dec 19 2004
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MAPLE
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G:=(1-x)^5/Product(1-x-x^i+x^(1+2*i), i=1..5)-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: A047194 A048039 A131913 this_sequence A005407 A005116 A121349
Adjacent sequences: A005403 A005404 A005405 this_sequence A005407 A005408 A005409
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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).
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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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