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A243122
Number of compositions of n in which the maximal multiplicity of parts equals 5.
2
1, 0, 6, 6, 27, 49, 131, 279, 635, 1370, 2722, 5877, 12170, 24113, 47660, 94470, 186623, 355400, 680074, 1296600, 2456115, 4535638, 8495447, 15570655, 28505689, 52054671, 94229227, 169184891, 301060621, 540575365, 956101463, 1682865787, 2936425870, 5167830927
OFFSET
5,3
LINKS
FORMULA
a(n) = A243083(n) - A243082(n) = A243081(n,5) - A243081(n,4).
MAPLE
b:= proc(n, i, p, k) option remember; `if`(n=0, p!, `if`(i<1, 0,
add(b(n-i*j, i-1, p+j, k)/j!, j=0..min(n/i, k))))
end:
a:= n-> b(n$2, 0, 5) -b(n$2, 0, 4):
seq(a(n), n=5..50);
CROSSREFS
Column k=5 of A242447.
Sequence in context: A123874 A339321 A241865 * A274940 A341548 A253066
KEYWORD
nonn
AUTHOR
Alois P. Heinz, May 29 2014
STATUS
approved