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A243087 Number of compositions of n into parts with multiplicity not larger than 9. 4
1, 1, 2, 4, 8, 16, 32, 64, 128, 256, 511, 1023, 2036, 4072, 8089, 16123, 31971, 63447, 125464, 247848, 488248, 959954, 1882518, 3682966, 7186687, 13987505, 27151374, 52561888, 101473646, 195352782, 375197136, 718154110, 1370815210, 2611751010, 4957566835 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

Number of compositions of n avoiding the pattern {1}^10.

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..1000

MAPLE

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

      add(b(n-i*j, i-1, p+j)/j!, j=0..min(n/i, 9))))

    end:

a:= n-> b(n$2, 0):

seq(a(n), n=0..50);

CROSSREFS

Column k=9 of A243081.

Sequence in context: A194632 A282584 A251759 * A123464 A113019 A329562

Adjacent sequences:  A243084 A243085 A243086 * A243088 A243089 A243090

KEYWORD

nonn

AUTHOR

Alois P. Heinz, May 29 2014

STATUS

approved

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Last modified May 22 17:42 EDT 2022. Contains 353957 sequences. (Running on oeis4.)