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A094071
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Coefficients arising in combinatorial field theory.
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0
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1, 2, 10, 75, 572, 6293, 92962, 1395180, 25482135, 582310475, 13697614020, 364311810217, 11551145067139, 380339218683310, 13636394439014770, 563142483841155427, 24264229405883569164, 1114389674994185476663
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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REFERENCES
| 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
| 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
| a(n)=(n+1)!*B(n+1)*[x^(n+1)](exp(x+x^3/3!)), where B(n) are the Bell numbers (A000110) - Emeric Deutsch (deutsch(AT)duke.poly.edu), Nov 23 2004
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MAPLE
| with(combinat):F:=series(exp(x+x^3/3!), x=0, 25): seq((n+1)!*coeff(F, x^(n+1))*bell(n+1), n=0..20);
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CROSSREFS
| Cf. A000085, A005425, A094065-.
Cf. A000110.
Sequence in context: A005365 A191812 A059104 * A136222 A184356 A124426
Adjacent sequences: A094068 A094069 A094070 * A094072 A094073 A094074
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), May 01 2004
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EXTENSIONS
| More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Nov 23 2004
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