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A292567 a(n) = [x^n] 1/(1+n*x) * Product_{j=2..n} 1/(1-x^j). 2
1, -1, 5, -29, 270, -3233, 47800, -838561, 17013991, -391779640, 10091836632, -287491284748, 8973657413421, -304549220113387, 11165193890312790, -439726629957500944, 18514829984975265703, -829953080825411342745, 39461813340364709540008 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..386

FORMULA

a(n) ~ (-1)^n * n^n * (1 + 1/n^2 - 1/n^3 + 2/n^4 - 2/n^5 + 4/n^6 - 4/n^7 + 7/n^8 - 8/n^9 + 12/n^10), for coefficients see A002865. - Vaclav Kotesovec, Sep 19 2017

MAPLE

b:= proc(n, i, k) option remember; `if`(n=0 or i=1, (-k)^n,

      `if`(i>n, 0, b(n-i, i, k))+b(n, i-1, k))

    end:

a:= n-> b(n$3):

seq(a(n), n=0..23);

CROSSREFS

Cf. A002865, A292462.

Sequence in context: A228387 A181356 A177440 * A332517 A332469 A112799

Adjacent sequences:  A292564 A292565 A292566 * A292568 A292569 A292570

KEYWORD

sign

AUTHOR

Alois P. Heinz, Sep 19 2017

STATUS

approved

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Last modified April 3 01:23 EDT 2020. Contains 333195 sequences. (Running on oeis4.)