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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
OFFSET
7,3
LINKS
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
KEYWORD
nonn
AUTHOR
Alois P. Heinz, May 29 2014
STATUS
approved