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A094073
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Coefficients arising in combinatorial field theory.
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0
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4, 240, 49938, 24608160, 23465221750, 38341895571708, 98780305524248572, 377796303580335320432, 2048907276496726375662702, 15198414983297581845761672560, 149768511689247547252666676150490
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OFFSET
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1,1
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REFERENCES
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P. Blasiak, K. A. Penson, A. I. Solomon, A. Horzela and G. E. H. Duchamp, Some useful combinatorial formulas for bosonic operators, J. Math. Phys. 46, 052110 (2005) (6 pages).
P. Blasiak, K. A. Penson, A. I. Solomon, A. Horzela and G E. H. Duchamp, Combinatorial field theories via boson normal ordering, preprint, Apr 27 2004.
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LINKS
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Table of n, a(n) for n=1..11.
P. Blasiak, K. A. Penson, A. I. Solomon, A. Horzela and G. E. H. Duchamp, Combinatorial field theories via boson normal ordering
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FORMULA
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a(n)=(2n)!*bell(2n)*coeff(exp(x*sinh(x)), x^(2n)). - Emeric Deutsch, Jan 22 2005
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MAPLE
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with(combinat): a:=n->bell(2*n)*(2*n)!*coeff(series(exp(x*sinh(x)), x=0, 40), x^(2*n)): seq(a(n), n=1..13); (Deutsch)
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CROSSREFS
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Cf. A000085, A005425, A094065-.
Cf. A000110.
Sequence in context: A132551 A013953 A051753 * A137342 A152793 A042769
Adjacent sequences: A094070 A094071 A094072 * A094074 A094075 A094076
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane, May 01 2004
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EXTENSIONS
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More terms from Emeric Deutsch, Jan 22 2005
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STATUS
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approved
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