A244165 Number of compositions of n in which the minimal multiplicity of parts equals 2.

1, 0, 1, 0, 7, 10, 32, 31, 71, 77, 222, 342, 971, 1936, 4681, 9662, 19440, 38304, 76458, 143542, 281447, 536472, 1051100, 2039870, 4055916, 8030958, 16168611, 32510383, 65705473, 132895297, 269206168, 544002516, 1099360989, 2217243856, 4464684513, 8975720721

Offset: 2

Author

Alois P. Heinz, Jun 21 2014

Keywords

• nonn

Links

• Alois P. Heinz, Table of n, a(n) for n = 2..400

Crossrefs

Column k=2 of A242451.

Programs

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, 2) -b(n$2, 0, 3):
seq(a(n), n=2..50);