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A005290
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Representation degeneracies for boson strings.
(Formerly M0026)
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5
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1, -1, 0, 0, 1, 0, 2, 0, 3, 1, 5, 2, 10, 5, 16, 13, 28, 24, 50, 46, 84, 87, 141, 153, 241, 266, 396, 459, 653, 766, 1070, 1267, 1725, 2075, 2762, 3342, 4397, 5330, 6918, 8432, 10814, 13188, 16784, 20468, 25836, 31529, 39505, 48169, 60033, 73092, 90597, 110203, 135920, 165058, 202754, 245774, 300707
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OFFSET
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0,7
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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).
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LINKS
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FORMULA
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There is a g.f. due to J. Goldstone given in Eq. (5) of Curtright and Thorn (1986), and programmed in Maple below. - N. J. A. Sloane, Jul 11 2015
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MAPLE
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M:=101:
p:=mul((1-x^n)^(-1), n=1..M):
G1:=J-> p^2*add( x^(n*J+n*(n-1)/2)*(-1)^(n-1)*(1-x^n)^2, n=1..M):
G2:=J->series(G1(J), x, M);
G3:=J->seriestolist(G2(J));
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CROSSREFS
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KEYWORD
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sign,easy
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AUTHOR
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STATUS
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approved
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