|
|
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
|
|
|
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
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|