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A243124 Number of compositions of n in which the maximal multiplicity of parts equals 7. 2
1, 0, 8, 8, 44, 80, 236, 513, 1246, 2780, 6280, 13786, 30070, 64696, 134585, 285384, 594786, 1207084, 2453682, 4972098, 9946044, 19646041, 38691878, 75939596, 147425468, 283809162, 546291230, 1042095956, 1977521091, 3730060870, 7022446786, 13104269980 (list; graph; refs; listen; history; text; internal format)
OFFSET

7,3

LINKS

Alois P. Heinz, Table of n, a(n) for n = 7..1000

FORMULA

a(n) = A243085(n) - A243084(n) = A243081(n,7) - A243081(n,6).

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, 7) -b(n$2, 0, 6):

seq(a(n), n=7..50);

CROSSREFS

Column k=7 of A242447.

Sequence in context: A278846 A240037 A241867 * A103744 A151782 A165829

Adjacent sequences:  A243121 A243122 A243123 * A243125 A243126 A243127

KEYWORD

nonn

AUTHOR

Alois P. Heinz, May 29 2014

STATUS

approved

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Last modified July 6 23:56 EDT 2020. Contains 335484 sequences. (Running on oeis4.)