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

1, 1, 1, 14, 2824974, 7375247711025022789604527681

Offset

0,4

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

Formula

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

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

Prog

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

Crossrefs

Main diagonal of A347630.

Cf. A000312, A000700, A064682, A281489.

Sequence in context: A013800 A368692 A350891 * A013870 A195898 A263500

Adjacent sequences: A347623 A347624 A347625 * A347627 A347628 A347629

Keyword

nonn

Author

Seiichi Manyama, Sep 09 2021

Status

approved