A069878 -id:A069878 - cp's OEIS frontend

A070235 Number of partitions of 3^n into distinct terms.

1, 2, 8, 192, 84756, 5807301632, 2496696209705056142, 4077067982967062771640042697374910, 1661834856564765736512658856496529945178404778001420955780288

Offset: 0

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Robert G. Wilson v, May 08 2002

nonn

Cf. A000009, A067735, A069878, A248728.

Mathematica
```
Table[ PartitionsQ[3^n], {n, 0, 10}]
```

a(n) ~ exp(Pi*sqrt(3^(n-1)))/(4*3^(3*n/4+1/4)). - Ilya Gutkovskiy, Jan 13 2017

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

Original entry on oeis.org

1, 2, 2574, 517035762467311, 11296895312655297284351876487257601933458562000884410

Offset: 0

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Seiichi Manyama, Sep 10 2021

nonn

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

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

Row 10 of A347630.

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

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

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

cp's OEIS Frontend

A070235 Number of partitions of 3^n into distinct terms.

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