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A104598
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Expansion of (1-z-sqrt(1-4z))/(1-4z)^2.
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1
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1, 10, 68, 394, 2092, 10516, 50920, 239962, 1107836, 5033020, 22572376, 100168260, 440604088, 1923626344, 8344694224, 35998921978, 154546983580, 660652406572, 2813422792696, 11940478362796, 50522190460072
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OFFSET
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1,2
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LINKS
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FORMULA
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Recurrence: n*(3*n-4)*a(n) = 2*(12*n^2-13*n-2)*a(n-1) - 8*(2*n-1)*(3*n-1) * a(n-2). - Vaclav Kotesovec, Oct 17 2012
a(n) ~ 3*2^(2*n-2)*n*(1-8/(3*sqrt(Pi)*sqrt(n))). - Vaclav Kotesovec, Oct 17 2012
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MATHEMATICA
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Rest[CoefficientList[Series[(1-x-Sqrt[1-4*x])/(1-4*x)^2, {x, 0, 20}], x]] (* Vaclav Kotesovec, Oct 17 2012 *)
Table[2^(2*n-2)*(3*n+4)-(n+1)*Binomial[2*n+1, n], {n, 1, 20}] (* Vaclav Kotesovec, Oct 28 2012 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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