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A128625
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Expansion of (1+3x)/(1-5x).
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0
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1, 8, 40, 200, 1000, 5000, 25000, 125000, 625000, 3125000, 15625000, 78125000, 390625000, 1953125000, 9765625000, 48828125000, 244140625000, 1220703125000, 6103515625000, 30517578125000, 152587890625000, 762939453125000, 3814697265625000, 19073486328125000
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| Binomial transform of A102900(n+1).
Hankel transform is := 1,-24,0,0,0,0,0,0,0,0,0,... [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 02 2008]
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FORMULA
| a(n)=(8/5)*5^n-(3/5)*0^n; a(0)=1, a(n)=sum{k=0..n, ((n+k)/n)*C(n,k)2^(n-k)*3^k},n>0;
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MATHEMATICA
| CoefficientList[Series[(1 + 3 x)/(1 - 5 x), {x, 0, 50}], x] (* From Vladimir Joseph Stephan Orlovsky, Jun 21 2011 *)
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CROSSREFS
| Sequence in context: A000760 A171189 A155616 * A037598 A037703 A051199
Adjacent sequences: A128622 A128623 A128624 * A128626 A128627 A128628
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KEYWORD
| easy,nonn
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Mar 14 2007
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