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A123333 a(n) = 3^n*(Gamma(n+1/3)/Gamma(1/3) + (n-1)!). 1
4, 13, 82, 766, 9472, 145720, 2681200, 57411760, 1402226560, 38468725120, 1171102777600, 39174663404800, 1428249121868800, 56366281606835200, 2393966461645158400, 108871544042829568000 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

The EXP-transform of a(n) is equal to A121630(n).

LINKS

G. C. Greubel, Table of n, a(n) for n = 1..380

FORMULA

E.g.f.: (1-3*x)^(-1/3) - 1 - log(1-3*x).

MATHEMATICA

With[{nmax = 50}, CoefficientList[Series[(1 - 3*x)^(-1/3) - 1 - Log[1 - 3*x], {x, 0, nmax}], x] Range[0, nmax]!] (* G. C. Greubel, Oct 12 2017 *)

PROG

(PARI) x='x+O('x^30); Vec(serlaplace((1-3*x)^(-1/3) - 1 - log(1-3*x))) \\ G. C. Greubel, Oct 12 2017

CROSSREFS

Cf. A121630.

Sequence in context: A301396 A221512 A061143 * A197752 A241905 A012258

Adjacent sequences:  A123330 A123331 A123332 * A123334 A123335 A123336

KEYWORD

nonn

AUTHOR

Karol A. Penson, Sep 26 2006

STATUS

approved

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Last modified June 15 20:50 EDT 2019. Contains 324145 sequences. (Running on oeis4.)