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A096307 E.g.f.: exp(x)/(1-x)^6. 6
1, 7, 55, 481, 4645, 49171, 566827, 7073725, 95064361, 1369375615, 21054430591, 344231563897, 5964569413645, 109196040092491, 2106381399472435, 42705264827626261, 907920105215691217, 20198878182718877815 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Sum_{k = 0..n} A094816(n,k)*x^k give A000522(n), A001339(n), A082030(n), A095000(n), A095177(n) for x = 1, 2, 3, 4, 5 respectively.

LINKS

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

FORMULA

a(n) = Sum_{k = 0..n} A094916(n, k)*6^k.

a(n) = Sum_{k = 0..n} binomial(n, k)*(k+5)!/5!.

a(n) = 2F0(6,-n;;-1). - Benedict W. J. Irwin, May 27 2016

MATHEMATICA

Table[HypergeometricPFQ[{6, -n}, {}, -1], {n, 0, 20}] (* Benedict W. J. Irwin, May 27 2016 *)

With[{nn = 250}, CoefficientList[Series[Exp[x]/(1 - x)^6, {x, 0, nn}], x] Range[0, nn]!] (* G. C. Greubel, May 27 2016 *)

CROSSREFS

Sequence in context: A078018 A108628 A116862 * A199564 A225032 A124403

Adjacent sequences:  A096304 A096305 A096306 * A096308 A096309 A096310

KEYWORD

nonn

AUTHOR

Philippe Deléham, Jun 26 2004

STATUS

approved

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Last modified July 9 14:41 EDT 2020. Contains 335543 sequences. (Running on oeis4.)