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%I #12 Aug 20 2021 07:03:07
%S 1,10,125,2000,40625,1018750,30578125,1070312500,42812890625,
%T 1926582031250,96329111328125,5298101171875000,317886070556640625,
%U 20662594587402343750,1446381621124267578125,108478621584350585937500
%N E.g.f. exp(5x)/(1-5x).
%H Michael Z. Spivey and Laura L. Steil, <a href="http://www.cs.uwaterloo.ca/journals/JIS/VOL9/Spivey/spivey7.html">The k-Binomial Transforms and the Hankel Transform</a>, Journal of Integer Sequences, Vol. 9 (2006), Article 06.1.1.
%F a(n) = 5n*a(n-1)+5^n, n>0, a(0)=1; a(n) = 5^n*A000522(n).
%F 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
%t With[{nn=20},CoefficientList[Series[Exp[5x]/(1-5x),{x,0,nn}],x] Range[0,nn]!] (* _Harvey P. Dale_, May 24 2013 *)
%K easy,nonn
%O 0,2
%A _Paul Barry_, Aug 26 2004
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