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A119394
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a(n) = Sum_{k=0..n} (-1)^(n-k)*(n!/k!)^2*binomial(n-1,k-1).
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1
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1, 1, -3, 19, -191, 2301, -5579, -2972633, 365848449, -41439009671, 5100344009101, -707810961855909, 111655250271582337, -19997759486622720971, 4047974925567723953349, -920668079777059041167249, 233796999474238422487503361, -65865180249832257997559536143
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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FORMULA
| Sum_{>=0} a(n)*x^n/n!^2 = BesselI(0,2*sqrt(x/(1+x))).
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MAPLE
| A119394 := proc(n) local k ; add((-1)^(n-k)*(n!/k!)^2*binomial(n-1, k-1), k=0..n) ; end: seq(A119394(n), n=0..20) ; - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jan 21 2008
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CROSSREFS
| Sequence in context: A052888 A141623 A090354 * A101481 A155805 A001517
Adjacent sequences: A119391 A119392 A119393 * A119395 A119396 A119397
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KEYWORD
| easy,sign
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AUTHOR
| Vladeta Jovovic (vladeta(AT)eunet.rs), Jul 25 2006
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EXTENSIONS
| More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jan 21 2008
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