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A243088 Number of compositions of n into parts with multiplicity not larger than 10. 3
1, 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1023, 2047, 4083, 8166, 16266, 32466, 64580, 128522, 255119, 506025, 1001545, 1979285, 3903439, 7683348, 15091124, 29577303, 57838511, 112844632, 219646810, 426513292, 826201797, 1596503761, 3077988342, 5917798459 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

Number of compositions of n avoiding the pattern {1}^11.

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, 10))))

    end:

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

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

CROSSREFS

Column k=10 of A243081.

Sequence in context: A122265 A339073 A194633 * A113699 A113010 A330127

Adjacent sequences:  A243085 A243086 A243087 * A243089 A243090 A243091

KEYWORD

nonn

AUTHOR

Alois P. Heinz, May 29 2014

STATUS

approved

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Last modified October 21 05:28 EDT 2021. Contains 348141 sequences. (Running on oeis4.)