A243124 Number of compositions of n in which the maximal multiplicity of parts equals 7.

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

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: A339323 A240037 A241867 * A103744 A151782 A165829

Adjacent sequences: A243121 A243122 A243123 * A243125 A243126 A243127

Keyword

nonn

Author

Alois P. Heinz, May 29 2014

Status

approved