A347654 Number of partitions of 10^n into distinct odd parts.

1, 2, 2574, 517035762467311, 11296895312655297284351876487257601933458562000884410

Offset

0,2

Comments

The next term a(5) = 5.5425352720...*10^171 is too large to include.

Links

Seiichi Manyama, Table of n, a(n) for n = 0..6

Formula

a(n) = A000700(10^n).

Prog

(PARI) a(n) = polcoef(prod(k=0, 10^n\2, 1+x^(2*k+1)+x*O(x^(10^n))), 10^n);

Crossrefs

Row 10 of A347630.

Cf. A000700, A011557, A069878, A070177, A347626.

Sequence in context: A261382 A281692 A225221 * A324426 A114067 A109119

Adjacent sequences: A347651 A347652 A347653 * A347655 A347656 A347657

Keyword

nonn

Author

Seiichi Manyama, Sep 10 2021

Status

approved