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A099046
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(4*0^n+5^n*binomial(2n,n))/5.
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2
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1, 2, 30, 500, 8750, 157500, 2887500, 53625000, 1005468750, 18992187500, 360851562500, 6888984375000, 132038867187500, 2539208984375000, 48970458984375000, 946762207031250000, 18343517761230468750
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| (1+(k-1)sqrt(1-4kx))/(k*sqrt(1-4kx)) is the g.f. for ((k-1)0^n+k^n*C(2n,n))/k.
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FORMULA
| G.f.: (1+4sqrt(1-20x))/(5sqrt(1-20x))
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MATHEMATICA
| CoefficientList[Series[(1+4Sqrt[1-20x])/(5Sqrt[1-20x]), {x, 0, 20}], x] (* From Harvey P. Dale, Mar 30 2011 *)
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CROSSREFS
| Cf. A069723, A088218, A099044, A099045.
Sequence in context: A134362 A072976 A143414 * A020547 A160694 A013525
Adjacent sequences: A099043 A099044 A099045 * A099047 A099048 A099049
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KEYWORD
| easy,nonn
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Sep 24 2004
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