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%I #17 Mar 17 2017 22:04:39
%S 3,5,17,91,667,6213,70233,933819,14277555,246772485,4757596065,
%T 101218975515,2355535057995,59520844736325,1622874515042025,
%U 47490277029572475,1484579154624005475,49374909670517201925
%N E.g.f.: (3-log(1-2*x))/(1-2*x)^(1/2).
%D C. Dement, Floretion Integer Sequences (work in progress)
%H G. C. Greubel, <a href="/A114161/b114161.txt">Table of n, a(n) for n = 0..400</a>
%F a(n) = 2^n*GAMMA(n+1/2)/Pi^(1/2)*(3+Psi(n+1/2) + gamma + 2*log(2)). - _Vladeta Jovovic_
%t Range[0, 17]!CoefficientList[ Series[(3 - Log[1 - 2x])/Sqrt[(1 - 2x)], {x, 0, 17}], x] (* or *)
%t 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_ *)
%o (PARI) { my(x = xx + O(xx^30)); Vec(serlaplace((3-log(1-2*x))/(1-2*x)^(1/2))) } \\ _Michel Marcus_, Jul 06 2015
%Y Cf. A114160.
%K nonn
%O 0,1
%A _Creighton Dement_, Nov 14 2005
%E E.g.f. from _Vladeta Jovovic_
%E More terms from _Robert G. Wilson v_, Nov 15 2005