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A114161
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E.g.f.: (3-log(1-2*x))/(1-2*x)^(1/2).
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2
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3, 5, 17, 91, 667, 6213, 70233, 933819, 14277555, 246772485, 4757596065, 101218975515, 2355535057995, 59520844736325, 1622874515042025, 47490277029572475, 1484579154624005475, 49374909670517201925
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OFFSET
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0,1
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REFERENCES
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C. Dement, Floretion Integer Sequences (work in progress)
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LINKS
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FORMULA
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a(n) = 2^n*GAMMA(n+1/2)/Pi^(1/2)*(3+Psi(n+1/2) + gamma + 2*log(2)). - Vladeta Jovovic
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MATHEMATICA
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Range[0, 17]!CoefficientList[ Series[(3 - Log[1 - 2x])/Sqrt[(1 - 2x)], {x, 0, 17}], x] (* or *)
f[n_] := FullSimplify[ 2^n*Gamma[n + 1/2]/Sqrt[Pi]*(3 + PolyGamma[n + 1/2] + EulerGamma + 2Log[2])]; Table[ f[n], {n, 0, 17}] (* Robert G. Wilson v *)
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PROG
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(PARI) { my(x = xx + O(xx^30)); Vec(serlaplace((3-log(1-2*x))/(1-2*x)^(1/2))) } \\ Michel Marcus, Jul 06 2015
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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