A123332 a(n) = 2^n*(Gamma(n+1/2)/Gamma(1/2) + (n-1)!).

3, 7, 31, 201, 1713, 18075, 227295, 3317265, 55103265, 1026318195, 21181092975, 479733356025, 11829834687825, 315481555464075, 9046941599670975, 277598531343758625, 9075051786962786625, 314884420627497595875, 11557482238066613223375, 447385119579169194047625

Offset: 1

Author

Karol A. Penson, Sep 26 2006

Keywords

• nonn

Comments

The EXP-transform of a(n) is equal to A121629(n).

Links

• G. C. Greubel, Table of n, a(n) for n = 1..400

Crossrefs

Cf. A121629.

Programs

Mathematica

Table[2^n*(Gamma[n + 1/2]/Gamma[1/2] + (n - 1)!), {n, 0, 50}] (* G. C. Greubel, Oct 04 2017 *)

PARI

a(n) = round(2^n*(gamma(n+1/2)/gamma(1/2) + (n-1)!)); \\ Michel Marcus, Oct 05 2017

Formula

E.g.f.: (1-2*x)^(-1/2) - 1 - log(1-2*x).