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 A099046 (4*0^n+5^n*binomial(2n,n))/5. 2
 1, 2, 30, 500, 8750, 157500, 2887500, 53625000, 1005468750, 18992187500, 360851562500, 6888984375000, 132038867187500, 2539208984375000, 48970458984375000, 946762207031250000, 18343517761230468750 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 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. LINKS FORMULA 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 MATHEMATICA CoefficientList[Series[(1+4Sqrt[1-20x])/(5Sqrt[1-20x]), {x, 0, 20}], x]  (* From Harvey P. Dale, Mar 30 2011 *) CROSSREFS Cf. A069723, A088218, A099044, A099045. Sequence in context: A219869 A072976 A143414 * A020547 A208881 A160694 Adjacent sequences:  A099043 A099044 A099045 * A099047 A099048 A099049 KEYWORD easy,nonn AUTHOR Paul Barry, Sep 24 2004 STATUS approved

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Last modified June 20 02:19 EDT 2013. Contains 226416 sequences.