A295099 - OEIS

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A295099

a(n) = n! * [x^n] exp(n*x)/sqrt(1 - 2*x).

3

1, 2, 11, 96, 1145, 17320, 317547, 6843872, 169603793, 4752704160, 148631984075, 5132717953792, 194022218612169, 7969667589513344, 353510496652374635, 16842274069331520000, 857827370723082312737, 46516913938434654949888, 2675772791433589181094027, 162742831545094476694814720

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OFFSET

0,2

COMMENTS

The n-th term of the n-th binomial transform of A001147.

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..250

N. J. A. Sloane, Transforms

Index entries for sequences related to factorial numbers

FORMULA

a(n) ~ 2^(n+1) * n^n / exp(n/2). - Vaclav Kotesovec, Nov 14 2017

MATHEMATICA

Table[n! SeriesCoefficient[Exp[n x]/Sqrt[1 - 2 x], {x, 0, n}], {n, 0, 19}]

CROSSREFS

Cf. A001147, A063170, A081367, A084262, A295098, A295100.

Sequence in context: A231229 A138210 A227465 * A227466 A136344 A055680

Adjacent sequences: A295096 A295097 A295098 * A295100 A295101 A295102

KEYWORD

nonn

AUTHOR

Ilya Gutkovskiy, Nov 14 2017

STATUS

approved