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A082545
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(2*n)!*Sum_{k=0..n} binomial(n,k)/(n+k)!.
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1
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1, 3, 21, 229, 3393, 63591, 1442173, 38398641, 1174226049, 40558249963, 1561734494661, 66335687785533, 3081211226192641, 155369391396527439, 8452596370942940973, 493494408990278911561, 30777323181433121541633
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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FORMULA
| n!*LaguerreL(n, n, -1).
a(n)*n+(n^3-5*n^2-n+2)*a(n-1)-2*(n+1)*(2*n-3)*(n-1)^2*a(n-2) = 0. - Vladeta Jovovic (vladeta(AT)eunet.rs), Jul 16 2004
E.g.f.: exp((-2*x+1-(1-4*x)^(1/2))/(2*x))/(1-4*x)^(1/2). - Mark van Hoeij, Oct 31 2011
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CROSSREFS
| Cf. A006902.
Sequence in context: A099121 A107864 A113663 * A074638 A097329 A119097
Adjacent sequences: A082542 A082543 A082544 * A082546 A082547 A082548
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KEYWORD
| nonn
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AUTHOR
| Vladeta Jovovic (vladeta(AT)eunet.rs), May 11 2003
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