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A272522 Number of set partitions of [n] into ten blocks with distinct sizes. 2
1906765806522767212441719098019963758016000000, 9707171378661360354248751771737997313536000000, 101439940907011215701899456014662071926451200000, 829726696136835328433485294068646178065075200000, 7898017947032824439221398664897536276307929600000 (list; graph; refs; listen; history; text; internal format)
OFFSET

55,1

LINKS

Alois P. Heinz, Table of n, a(n) for n = 55..1000

FORMULA

a(n) = n! * [x^n*y^10] Product_{n>=1} (1+y*x^n/n!).

MAPLE

b:= proc(n, i, t) option remember; `if`(t>i or t*(t+1)/2>n

      or t*(2*i+1-t)/2<n, 0, `if`(n=0, 1, b(n, i-1, t)+

      `if`(i>n, 0, b(n-i, i-1, t-1)*binomial(n, i))))

    end:

a:= n-> b(n$2, 10):

seq(a(n), n=55..65);

CROSSREFS

Column k=10 of A131632.

Sequence in context: A095482 A160678 A095484 * A227768 A095486 A095488

Adjacent sequences:  A272519 A272520 A272521 * A272523 A272524 A272525

KEYWORD

nonn

AUTHOR

Alois P. Heinz, May 01 2016

STATUS

approved

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Last modified February 27 13:18 EST 2020. Contains 332306 sequences. (Running on oeis4.)