A284910 a(n) = A000009(A000041(n)).

1, 1, 1, 2, 3, 5, 12, 27, 89, 296, 1426, 7108, 58499, 483330, 6711480, 109420549, 2973772212, 98872765938, 6193924614094, 495007377762304, 79850366709300780, 18640233243121488514, 9131454268089695383606, 7218306932686390208993280, 13823416565311581226765397400

Offset: 0

Author

Alois P. Heinz, Apr 05 2017

Keywords

• nonn

Links

• Alois P. Heinz, Table of n, a(n) for n = 0..40

Crossrefs

Cf. A000009, A000041, A058699, A284908, A284909.

Programs

Maple

with(numtheory):
b:= proc(n) option remember; `if`(n=0, 1, add(add(
     `if`(d::odd, d, 0), d=divisors(j))*b(n-j), j=1..n)/n)
    end:
a:= n-> b(combinat[numbpart](n)):
seq(a(n), n=0..22);

Mathematica

Table[PartitionsQ@ PartitionsP@ n, {n,0, 50}] (* Indranil Ghosh, Apr 07 2017 *)