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A292916 a(n) = n! * [x^n] exp(n*x)/(2 - exp(x)). 4
1, 2, 11, 94, 1083, 15666, 272451, 5532206, 128409707, 3352959850, 97259891163, 3102552150006, 107936130271899, 4066743353318114, 164961642651034547, 7167348523420169278, 332081754670735087275, 16343667009638859878298, 851478575825591156040843, 46814697307371602567813126 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

The n-th term of the n-th binomial transform of A000670.

LINKS

Table of n, a(n) for n=0..19.

N. J. A. Sloane, Transforms

FORMULA

a(n) = A292915(n,n).

a(n) ~ n! * 2^(n-1) / (log(2))^(n+1). - Vaclav Kotesovec, Sep 27 2017

MAPLE

b:= proc(n, k) option remember; k^n +add(

       binomial(n, j)*b(j, k), j=0..n-1)

    end:

a:= n-> b(n$2):

seq(a(n), n=0..20);  # Alois P. Heinz, Sep 27 2017

MATHEMATICA

Table[n! SeriesCoefficient[Exp[n x]/(2 - Exp[x]), {x, 0, n}], {n, 0, 19}]

Table[HurwitzLerchPhi[1/2, -n, n]/2, {n, 0, 19}]

CROSSREFS

Main diagonal of A292915.

Cf. A000670.

Sequence in context: A083069 A158837 A236962 * A290586 A098621 A266834

Adjacent sequences:  A292913 A292914 A292915 * A292917 A292918 A292919

KEYWORD

nonn

AUTHOR

Ilya Gutkovskiy, Sep 26 2017

STATUS

approved

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Last modified June 19 14:08 EDT 2021. Contains 345140 sequences. (Running on oeis4.)