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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 (list; graph; refs; listen; history; text; internal format)
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: A286482 A123874 A241865 * A274940 A253066 A016725

Adjacent sequences:  A243119 A243120 A243121 * A243123 A243124 A243125

KEYWORD

nonn

AUTHOR

Alois P. Heinz, May 29 2014

STATUS

approved

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Last modified August 22 00:43 EDT 2019. Contains 326169 sequences. (Running on oeis4.)