A347607 Number of partitions of n^n.

1, 1, 5, 3010, 365749566870782, 8630901377559029573671524821295260243701883575513498104067

Offset: 0

Author

Seiichi Manyama, Sep 08 2021

Keywords

• nonn

Comments

The next term a(6) = 1.30449952...*10^235 is too large to include.

a(7) = 1.5782589391...*10^1004. - Chai Wah Wu, Sep 09 2021

Links

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

Crossrefs

Main diagonal of A347615.

Cf. A000041, A000312, A064682, A072213, A128854.

Programs

Maple

a:= n-> combinat[numbpart](n^n):
seq(a(n), n=0..6);  # Alois P. Heinz, Sep 09 2021

PARI

a(n) = numbpart(n^n);

Python

from sympy.functions import partition
def A347607(n): return partition(n**n) # Chai Wah Wu, Sep 09 2021

Formula

a(n) = A000041(n^n).