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A081367
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E.g.f.: exp(2*x)/sqrt(1-2*x).
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8
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1, 3, 11, 53, 345, 2947, 31411, 400437, 5927921, 99816515, 1882741659, 39310397557, 899919305929, 22410922177347, 603120939234755, 17441737474345973, 539390080299331809, 17762381612118471043
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| a(n) is equal to HypergeometricU[1/2,3/2+m,1]*2^n, where HypergeometricU[] is the confluent hypergeometric function. - John M. Campbell, May 4, 2011
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FORMULA
| a(n) = Sum_{k = 0..n} A046716(n, k)*2^k . - DELEHAM Philippe (kolotoko(AT)wanadoo.fr), Jun 12 2004
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MATHEMATICA
| Table[HypergeometricU[1/2, 3/2 + n, 1]*2^n, {n, 0, 20}]
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PROG
| (PARI) a(n)=n!*polcoeff(exp(2*x)/sqrt(1-2*x)+O(x^(n+1)), n)
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CROSSREFS
| Sequence in context: A005502 A000255 A121580 * A156171 A129093 A057325
Adjacent sequences: A081364 A081365 A081366 * A081368 A081369 A081370
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KEYWORD
| nonn
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AUTHOR
| Benoit Cloitre (benoit7848c(AT)orange.fr), May 10 2003
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