A244167 Number of compositions of n in which the minimal multiplicity of parts equals 4.

1, 0, 0, 0, 1, 0, 0, 0, 71, 126, 336, 330, 776, 841, 1541, 1821, 2951, 3221, 5322, 5697, 43288, 99626, 313917, 807218, 2049995, 4769054, 10240287, 22002219, 45015647, 90239153, 177239582, 342276724, 650127448, 1223160912, 2275920969, 4197371497, 7754873919

Offset

4,9

Links

Alois P. Heinz, Table of n, a(n) for n = 4..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, 4) -b(n$2, 0, 5):
seq(a(n), n=4..50);

Crossrefs

Column k=4 of A242451.

Sequence in context: A141879 A323049 A026063 * A115395 A142647 A152951

Adjacent sequences: A244164 A244165 A244166 * A244168 A244169 A244170

Keyword

nonn

Author

Alois P. Heinz, Jun 21 2014

Status

approved