A243122 Number of compositions of n in which the maximal multiplicity of parts equals 5.

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

Alois P. Heinz, Table of n, a(n) for n = 5..1000

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

Adjacent sequences: A243119 A243120 A243121 * A243123 A243124 A243125

Keyword

nonn

Author

Alois P. Heinz, May 29 2014

Status

approved