A244166 Number of compositions of n in which the minimal multiplicity of parts equals 3.

1, 0, 0, 1, 0, 0, 21, 35, 91, 105, 211, 221, 464, 441, 740, 2571, 5457, 14740, 37990, 89091, 203487, 416751, 877183, 1722277, 3374384, 6381902, 12054327, 22545335, 42054605, 78409434, 147669414, 280480248, 539039384, 1051964654, 2078682442, 4165775779

Offset

3,7

Links

Alois P. Heinz, Table of n, a(n) for n = 3..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, 3) -b(n$2, 0, 4):
seq(a(n), n=3..50);

Crossrefs

Column k=3 of A242451.

Sequence in context: A246157 A364029 A301789 * A301963 A219919 A219215

Adjacent sequences: A244163 A244164 A244165 * A244167 A244168 A244169

Keyword

nonn

Author

Alois P. Heinz, Jun 21 2014

Status

approved