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Search: id:A094070
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| 1, 4, 20, 150, 1352, 15428, 203464, 3162960, 55405140, 1101298600, 24222234720, 590544046744, 15715973012248, 456341011254560, 14312979247985120, 484253161428902192, 17550722413456774848, 680244627812139042016
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Coefficients arising in combinatorial field theory.
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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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P. Blasiak, K. A. Penson, A. I. Solomon, A. Horzela and G. E. H. Duchamp, Combinatorial field theories via boson normal ordering
A. Horzela, P. Blasiak, G. E. H. Duchamp, K. A. Penson and A. I. Solomon, A product formula and combinatorial field theory
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FORMULA
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a(n)=(I/sqrt(2))^(n+1)*H(n+1, -I/sqrt(2))*Bell(n+1), where I=sqrt(-1), H(n, x) are the Hermite polynomials and Bell(n) are the Bell numbers. - Emeric Deutsch (deutsch(AT)duke.poly.edu), Nov 22 2004
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MAPLE
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with(combinat): with(orthopoly): seq((I/sqrt(2))^(n+1)*H(n+1, -I/sqrt(2))*bell(n+1), n=0..17); (Deutsch)
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CROSSREFS
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Cf. A000085, A005425, A094066-.
Sequence in context: A082988 A001171 A167018 this_sequence A119022 A006682 A115852
Adjacent sequences: A094067 A094068 A094069 this_sequence A094071 A094072 A094073
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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), May 01 2004
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EXTENSIONS
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More terms from Ralf Stephan, Oct 14 2004
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