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A293197 E.g.f.: Product_{m>0} (1+x^m+x^(2*m)/2!+x^(3*m)/3!+x^(4*m)/4!+x^(5*m)/5!). 2
1, 1, 3, 13, 73, 501, 4050, 37632, 394296, 4595976, 58932720, 823949280, 12467513520, 202933851120, 3534322952160, 65559527953920, 1290129736896000, 26840074522060800, 588476031700677120, 13560642403296468480, 327603687047488051200, 8278733693718654566400 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Seiichi Manyama, Table of n, a(n) for n = 0..444

MAPLE

b:= proc(n, i) option remember; `if`(n=0, 1, `if`(i<1, 0,

      add(b(n-i*j, i-1)/j!, j=0..min(5, n/i))))

    end:

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

seq(a(n), n=0..23);  # Alois P. Heinz, Oct 02 2017

CROSSREFS

Column k=5 of A293135.

Sequence in context: A132846 A293196 A193931 * A193932 A193933 A306623

Adjacent sequences:  A293194 A293195 A293196 * A293198 A293199 A293200

KEYWORD

nonn

AUTHOR

Seiichi Manyama, Oct 02 2017

STATUS

approved

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Last modified January 22 02:46 EST 2022. Contains 350481 sequences. (Running on oeis4.)