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A272499 Number of ordered set partitions of [n] with nondecreasing block sizes and maximal block size equal to nine. 2
1, 10, 165, 2200, 33605, 492492, 8018010, 131342640, 2321677930, 42349478600, 820275716546, 16515429370440, 350240612952230, 7731410818511380, 178693701272340540, 4296129057927296304, 107666415418378051950, 2801776425029317564400, 75741144900761549630850 (list; graph; refs; listen; history; text; internal format)
OFFSET

9,2

LINKS

Alois P. Heinz, Table of n, a(n) for n = 9..450

FORMULA

E.g.f.: x^9 * Product_{i=1..9} (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))(9):

seq(a(n), n=9..30);

CROSSREFS

Column k=9 of A262071.

Sequence in context: A064747 A285995 A278096 * A305604 A054688 A229228

Adjacent sequences:  A272496 A272497 A272498 * A272500 A272501 A272502

KEYWORD

nonn

AUTHOR

Alois P. Heinz, May 01 2016

STATUS

approved

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Last modified October 6 23:36 EDT 2022. Contains 357270 sequences. (Running on oeis4.)