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A319509 a(n) = n! * [x^n] 1/(1 - n + exp(x)*(exp(n*x) - 1)/(exp(x) - 1)). 5
1, -1, 13, -828, 145046, -53306325, 35351663831, -38335940184976, 63385171527442332, -151639317344211911505, 503956292395339783686325, -2252032996384696958326480356, 13175456854397460097168816336930, -98695402553214372025148083384255381 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..167

FORMULA

a(n) = n! * [x^n] 1/(1 - n + exp(x) + exp(2*x) + exp(3*x) + ... + exp(n*x)).

MATHEMATICA

Table[n! SeriesCoefficient[1/(1 - n + Exp[x] (Exp[n x] - 1)/(Exp[x] - 1)), {x, 0, n}], {n, 0, 13}]

PROG

(PARI) default(seriesprecision, 101); {a(n) = n!*polcoeff((1/(1-n+exp(x)*(exp(n*x)-1)/(exp(x)-1)) + O(x^(n+1))), n)};

for(n=0, 25, print1(a(n), ", ")) \\ G. C. Greubel, Oct 09 2018

CROSSREFS

Cf. A319508.

Sequence in context: A221934 A328033 A316673 * A189446 A296803 A289225

Adjacent sequences:  A319506 A319507 A319508 * A319510 A319511 A319512

KEYWORD

sign

AUTHOR

Ilya Gutkovskiy, Sep 21 2018

STATUS

approved

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Last modified September 28 10:10 EDT 2020. Contains 337393 sequences. (Running on oeis4.)