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A123332 a(n) = 2^n*(Gamma(n+1/2)/Gamma(1/2) + (n-1)!). 1
3, 7, 31, 201, 1713, 18075, 227295, 3317265, 55103265, 1026318195, 21181092975, 479733356025, 11829834687825, 315481555464075, 9046941599670975, 277598531343758625, 9075051786962786625, 314884420627497595875, 11557482238066613223375, 447385119579169194047625 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

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

FORMULA

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

MATHEMATICA

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

PROG

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

CROSSREFS

Cf. A121629.

Sequence in context: A115083 A141385 A059296 * A051342 A002585 A103785

Adjacent sequences:  A123329 A123330 A123331 * A123333 A123334 A123335

KEYWORD

nonn

AUTHOR

Karol A. Penson, Sep 26 2006

STATUS

approved

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Last modified July 16 23:49 EDT 2019. Contains 325092 sequences. (Running on oeis4.)