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Search: id:A123686
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| A123686 |
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E.g.f.: (1-x^4)^(-1/2)*exp(x^2/(1-x^2))*BesselI(0,x^2/(x^2-1)) (since this is an even function, we do not give the intercalating 0's). |
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+0
2
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| 1, 2, 54, 2460, 239190, 33124140, 6896500380, 1879519201560, 674900483206950, 300426422192196300, 164868151446145847700, 108046627817926248851400, 83890281074290204071858300, 75722368306901033144261835000
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Arises in the normal ordering of functions of a*(a+)*a, where a and a+ are the boson annihilation and creation operators, respectively.
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MAPLE
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G:=(1-x^4)^(-1/2)*exp(x^2/(1-x^2))*BesselI(0, x^2/(x^2-1)): Gser:=series(G, x=0, 40): seq((2*n)!*coeff(Gser, x, 2*n), n=0..15); - Emeric Deutsch (deutsch(AT)duke.poly.edu), Oct 31 2006
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CROSSREFS
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Cf.: A123510, A123511, A123512, A123525.
Adjacent sequences: A123683 A123684 A123685 this_sequence A123687 A123688 A123689
Sequence in context: A055024 A057411 A071798 this_sequence A122418 A069788 A117681
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KEYWORD
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nonn
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AUTHOR
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Karol A. Penson (penson(AT)lptl.jussieu.fr), Oct 06 2006
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EXTENSIONS
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More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Oct 31 2006
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