A244170 Number of compositions of n in which the minimal multiplicity of parts equals 7.

1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 3433, 6435, 17875, 19448, 43264, 50388, 96968, 119713, 208803, 256597, 422375, 512524, 785708, 976990, 1423465, 1737759, 2488824, 3001562, 4141412, 5012060, 6722158, 407104665, 1108110431, 3914660472, 10999975393

Offset

7,15

Links

Alois P. Heinz, Table of n, a(n) for n = 7..400

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, $max(1, k)..n/i])))
    end:
a:= n-> b(n$2, 0, 7) -b(n$2, 0, 8):
seq(a(n), n=7..55);

Crossrefs

Column k=7 of A242451.

Sequence in context: A172881 A172913 A172708 * A245792 A046253 A031824

Adjacent sequences: A244167 A244168 A244169 * A244171 A244172 A244173

Keyword

nonn

Author

Alois P. Heinz, Jun 21 2014

Status

approved