A243127 Number of compositions of n in which the maximal multiplicity of parts equals 10.

1, 0, 11, 11, 77, 143, 495, 1133, 3058, 7271, 17777, 41591, 96767, 220473, 496661, 1103619, 2425929, 5276623, 11370986, 24294028, 51316156, 108047687, 225688551, 466237332, 960231624, 1967794950, 3997987950, 8077762209, 16258984885, 32550495175, 64759902032

Offset

10,3

Links

Alois P. Heinz, Table of n, a(n) for n = 10..1000

Formula

a(n) = A243088(n) - A243087(n) = A243081(n,10) - A243081(n,9).

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, 10) -b(n$2, 0, 9):
seq(a(n), n=10..50);

Crossrefs

Column k=10 of A242447.

Sequence in context: A014461 A111221 A241870 * A088761 A215256 A265526

Adjacent sequences: A243124 A243125 A243126 * A243128 A243129 A243130

Keyword

nonn

Author

Alois P. Heinz, May 29 2014

Status

approved