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A091903
Expansion of x/((1+5x)(1-10x)).
3
0, 1, 5, 75, 625, 6875, 65625, 671875, 6640625, 66796875, 666015625, 6669921875, 66650390625, 666748046875, 6666259765625, 66668701171875, 666656494140625, 6666717529296875, 66666412353515625, 666667938232421875
OFFSET
0,3
COMMENTS
a(n)=A091883(n+1)/50; a(n)/a(n+1)->1/10.
FORMULA
a(n)=10^n/15-(-5)^n/15
a(0)=0, a(1)=1, a(n)=5*a(n-1)+50*a(n-2). - Harvey P. Dale, Mar 13 2013
a(n) = 5^(n-1)*A001045(n). - R. J. Mathar, Mar 08 2021
MATHEMATICA
CoefficientList[Series[x/((1+5x)(1-10x)), {x, 0, 30}], x] (* or *) LinearRecurrence[ {5, 50}, {0, 1}, 30] (* Harvey P. Dale, Mar 13 2013 *)
CROSSREFS
Sequence in context: A216093 A151752 A127212 * A105490 A307823 A105494
KEYWORD
easy,nonn
AUTHOR
Paul Barry, Feb 10 2004
STATUS
approved