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A272500 Number of ordered set partitions of [n] with nondecreasing block sizes and maximal block size equal to ten. 2
1, 11, 198, 2860, 47047, 738738, 12828816, 223282488, 4179020274, 80464009340, 1640551617848, 34682405557800, 770529476530814, 17782248154604934, 428864975324828328, 10740325059575465640, 279932748231053890830, 7564798231253861700960, 212075260563875086898520 (list; graph; refs; listen; history; text; internal format)
OFFSET

10,2

LINKS

Alois P. Heinz, Table of n, a(n) for n = 10..450

FORMULA

E.g.f.: x^10 * Product_{i=1..10} (i-1)!/(i!-x^i).

MAPLE

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

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

    end:

a:= n-> (k-> b(n, k) -b(n, k-1))(10):

seq(a(n), n=10..30);

CROSSREFS

Column k=10 of A262071.

Sequence in context: A186251 A234628 A105124 * A034831 A142362 A140534

Adjacent sequences:  A272497 A272498 A272499 * A272501 A272502 A272503

KEYWORD

nonn

AUTHOR

Alois P. Heinz, May 01 2016

STATUS

approved

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Last modified October 2 23:51 EDT 2022. Contains 357230 sequences. (Running on oeis4.)