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A243086 Number of compositions of n into parts with multiplicity not larger than 8. 4
1, 1, 2, 4, 8, 16, 32, 64, 128, 255, 511, 1013, 2026, 4007, 7969, 15728, 31081, 61127, 120063, 234991, 458813, 892999, 1733063, 3352924, 6466805, 12432745, 23825009, 45552282, 86701276, 164516870, 311753791, 587855120, 1104493663, 2072926133, 3874661542 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

Number of compositions of n avoiding the pattern {1}^9.

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, 8))))

    end:

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

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

CROSSREFS

Column k=8 of A243081.

Sequence in context: A194631 A251746 A251760 * A087079 A252757 A230579

Adjacent sequences:  A243083 A243084 A243085 * A243087 A243088 A243089

KEYWORD

nonn

AUTHOR

Alois P. Heinz, May 29 2014

STATUS

approved

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Last modified March 20 05:29 EDT 2019. Contains 321344 sequences. (Running on oeis4.)