A097816 - OEIS

A097816

E.g.f. exp(5x)/(1-5x).

1, 10, 125, 2000, 40625, 1018750, 30578125, 1070312500, 42812890625, 1926582031250, 96329111328125, 5298101171875000, 317886070556640625, 20662594587402343750, 1446381621124267578125, 108478621584350585937500

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OFFSET

0,2

LINKS

Table of n, a(n) for n=0..15.

Michael Z. Spivey and Laura L. Steil, The k-Binomial Transforms and the Hankel Transform, Journal of Integer Sequences, Vol. 9 (2006), Article 06.1.1.

FORMULA

a(n) = 5n*a(n-1)+5^n, n>0, a(0)=1; a(n) = 5^n*A000522(n).

D-finite with recurrence a(n) +5*(-n-1)*a(n-1) +25*(n-1)*a(n-2)=0. - R. J. Mathar, Feb 19 2015

MATHEMATICA

With[{nn=20}, CoefficientList[Series[Exp[5x]/(1-5x), {x, 0, nn}], x] Range[0, nn]!] (* Harvey P. Dale, May 24 2013 *)

CROSSREFS

Sequence in context: A089832 A161170 A281595 * A323877 A079609 A101599

Adjacent sequences: A097813 A097814 A097815 * A097817 A097818 A097819

KEYWORD

easy,nonn

AUTHOR

Paul Barry, Aug 26 2004

STATUS

approved