A347626 Number of partitions of n^n into distinct odd parts.

1, 1, 1, 14, 2824974, 7375247711025022789604527681

Offset: 0

Author

Seiichi Manyama, Sep 09 2021

Keywords

• nonn

Comments

The next term a(6) = 1.46058224...*10^116 is too large to include.

Links

• Seiichi Manyama, Table of n, a(n) for n = 0..7

Crossrefs

Main diagonal of A347630.

Cf. A000312, A000700, A064682, A281489.

Programs

PARI

a(n) = polcoef(prod(k=0, n^n\2, 1+x^(2*k+1)+x*O(x^(n^n))), n^n);

Formula

a(n) = [x^(n^n)] Product_{k>=0} (1 + x^(2*k+1)).

a(n) = A000700(n^n).