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A320288 a(n) = n! * [x^n] exp(exp(x)*(exp(n*x) - 1)/(exp(x) - 1) - n). 2
1, 1, 14, 504, 35054, 4004100, 680823583, 161337142848, 50830272555828, 20549783554154775, 10370522690234157175, 6390016526512315766520, 4721172172018812127424546, 4119920939845363203406535407, 4192465334819134111336349480680, 4920767556196547768620408273728000 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..218

FORMULA

a(n) = n! * [x^n] exp(exp(x) + exp(2*x) + exp(3*x) + ... + exp(n*x) - n).

MATHEMATICA

Table[n! SeriesCoefficient[Exp[Exp[x] (Exp[n x] - 1)/(Exp[x] - 1) - n], {x, 0, n}], {n, 0, 15}]

PROG

(PARI) a(n)={my(A=O(x^(n+2))); n!*polcoef((exp(exp(x + A)*(exp(n*x + A) - 1)/(exp(x + A) - 1) - n)), n)}; \\ Andrew Howroyd, Nov 04 2018

CROSSREFS

Cf. A103438, A319508.

Sequence in context: A240411 A024299 A190999 * A233014 A209096 A159645

Adjacent sequences:  A320285 A320286 A320287 * A320289 A320290 A320291

KEYWORD

nonn

AUTHOR

Ilya Gutkovskiy, Oct 09 2018

STATUS

approved

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Last modified April 13 02:47 EDT 2021. Contains 342934 sequences. (Running on oeis4.)