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%I #11 Mar 08 2021 12:24:12
%S 0,1,5,75,625,6875,65625,671875,6640625,66796875,666015625,6669921875,
%T 66650390625,666748046875,6666259765625,66668701171875,
%U 666656494140625,6666717529296875,66666412353515625,666667938232421875
%N Expansion of x/((1+5x)(1-10x)).
%C a(n)=A091883(n+1)/50; a(n)/a(n+1)->1/10.
%H Harvey P. Dale, <a href="/A091903/b091903.txt">Table of n, a(n) for n = 0..1000</a>
%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (5,50).
%F a(n)=10^n/15-(-5)^n/15
%F a(0)=0, a(1)=1, a(n)=5*a(n-1)+50*a(n-2). - _Harvey P. Dale_, Mar 13 2013
%F a(n) = 5^(n-1)*A001045(n). - _R. J. Mathar_, Mar 08 2021
%t CoefficientList[Series[x/((1+5x)(1-10x)),{x,0,30}],x] (* or *) LinearRecurrence[ {5,50},{0,1},30] (* _Harvey P. Dale_, Mar 13 2013 *)
%K easy,nonn
%O 0,3
%A _Paul Barry_, Feb 10 2004
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