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A005404
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Number of protruded partitions of n with largest part at most 3.
(Formerly M2555)
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0
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1, 3, 6, 12, 22, 42, 75, 135, 238, 416, 719, 1236, 2107, 3574, 6030, 10130, 16950, 28267, 46993, 77916, 128874, 212701, 350375, 576165, 945984, 1551009, 2539790, 4154212, 6787891, 11081022, 18074324, 29458899, 47981563, 78102314, 127060462
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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REFERENCES
| 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
| G.f. = (1-x)^3/Product(1-x-x^i+x^(1+2*i), i=1..3)-1; - Emeric Deutsch (deutsch(AT)duke.poly.edu), Dec 19 2004
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MAPLE
| G:=(1-x)^3/Product(1-x-x^i+x^(1+2*i), i=1..3)-1: Gser:=series(G, x=0, 39): seq(coeff(Gser, x^n), n=1..37); (Deutsch)
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CROSSREFS
| Sequence in context: A066982 A179906 A018078 * A097939 A174201 A181844
Adjacent sequences: A005401 A005402 A005403 * A005405 A005406 A005407
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
| More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Dec 19 2004
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