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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
OFFSET
0,3
COMMENTS
Number of compositions of n avoiding the pattern {1}^11.
LINKS
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 A366855
KEYWORD
nonn
AUTHOR
Alois P. Heinz, May 29 2014
STATUS
approved