A336032 - OEIS

A336032

Number of compositions of n such that the set of parts and the set of multiplicities of parts are disjoint.

1, 0, 2, 2, 2, 4, 6, 6, 14, 34, 79, 159, 227, 429, 727, 1146, 1999, 3238, 5018, 8976, 14977, 24768, 38400, 70678, 152535, 295493, 617675, 1404099, 3023086, 6685876, 14230031, 30218806, 62175519, 127820798, 257285277, 516574751, 1021334631, 2009999405, 3917878730

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OFFSET

0,3

LINKS

Table of n, a(n) for n=0..38.

MAPLE

b:= proc(n, i, p, f, g) option remember; `if`(f intersect g<>{}, 0,

`if`(n=0, p!, `if`(i<1, 0, add(b(n-i*j, i-1, p+j, `if`(j=0,

f, {f[], i}), `if`(j=0, g, {g[], j}))/j!, j=0..n/i))))

end:

a:= n-> b(n$2, 0, {}$2):

seq(a(n), n=0..32);