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A123334 a(n) = 4^n*(Gamma(n+1/4)/Gamma(1/4) + (n-1)!). 1
5, 21, 173, 2121, 34521, 700365, 17017605, 481714065, 15566262705, 565382074005, 22800157775325, 1010786809534425, 48858860891558025, 2557374374022392925, 144098786151306911925, 8696418977823430478625 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

The EXP-transform of a(n) is equal to A121631(n).

LINKS

G. C. Greubel, Table of n, a(n) for n = 1..365

FORMULA

E.g.f.: (1-4*x)^(-1/4) - 1 - log(1-4*x).

a(n) = A007696(n) + A000302(n)*A000142(n-1). - R. J. Mathar, Jun 18 2009, Jul 07 2009

MATHEMATICA

With[{nmax = 50}, CoefficientList[Series[(1 - 4*x)^(-1/4) - 1 - Log[1 - 4*x], {x, 0, nmax}], x] Range[0, nmax]!] (* G. C. Greubel, Oct 12 2017 *)

PROG

(PARI) x='x+O('x^30); Vec(serlaplace((1-4*x)^(-1/4) - 1 - log(1-4*x))) \\ G. C. Greubel, Oct 12 2017

CROSSREFS

Cf. A121631.

Sequence in context: A182825 A318966 A117067 * A140196 A027160 A195963

Adjacent sequences:  A123331 A123332 A123333 * A123335 A123336 A123337

KEYWORD

nonn

AUTHOR

Karol A. Penson, Sep 26 2006

STATUS

approved

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Last modified October 14 15:12 EDT 2019. Contains 328019 sequences. (Running on oeis4.)