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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
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OFFSET
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0,2
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COMMENTS
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(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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LINKS
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Table of n, a(n) for n=0..16.
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FORMULA
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G.f.: (1+4sqrt(1-20x))/(5sqrt(1-20x)).
n*a(n) +10*(-2*n+1)*a(n-1)=0. - R. J. Mathar, Nov 24 2012
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MATHEMATICA
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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
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Cf. A069723, A088218, A099044, A099045.
Sequence in context: A219869 A072976 A143414 * A020547 A208881 A160694
Adjacent sequences: A099043 A099044 A099045 * A099047 A099048 A099049
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KEYWORD
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easy,nonn
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AUTHOR
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Paul Barry, Sep 24 2004
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STATUS
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approved
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