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A261802 Number of 10-compositions of n: matrices with 10 rows of nonnegative integers with positive column sums and total element sum n. 2
1, 10, 155, 2320, 34640, 517252, 7723970, 115339960, 1722340115, 25719233330, 384058268507, 5735036957760, 85639736481880, 1278834734405320, 19096488909285540, 285162639746429024, 4258255614078447290, 63587365059302801520, 949532710487622388080 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Also the number of compositions of n where each part i is marked with a word of length i over a denary alphabet whose letters appear in alphabetical order.

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..850

FORMULA

G.f.: (1-x)^10/(2*(1-x)^10-1).

a(n) = A261780(n,10).

MAPLE

a:= proc(n) option remember; `if`(n=0, 1,

      add(a(n-j)*binomial(j+9, 9), j=1..n))

    end:

seq(a(n), n=0..20);

CROSSREFS

Column k=10 of A261780.

Sequence in context: A229284 A087603 A292837 * A246239 A235340 A306034

Adjacent sequences:  A261799 A261800 A261801 * A261803 A261804 A261805

KEYWORD

nonn,easy

AUTHOR

Alois P. Heinz, Sep 01 2015

STATUS

approved

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Last modified July 13 04:01 EDT 2020. Contains 335673 sequences. (Running on oeis4.)