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Search: id:A005404
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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
1
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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; listen)
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OFFSET
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1,2
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REFERENCES
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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)^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
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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
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Adjacent sequences: A005401 A005402 A005403 this_sequence A005405 A005406 A005407
Sequence in context: A081056 A066982 A018078 this_sequence A097939 A055244 A089068
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KEYWORD
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nonn
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AUTHOR
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njas
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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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