A347607 Number of partitions of n^n.

1, 1, 5, 3010, 365749566870782, 8630901377559029573671524821295260243701883575513498104067

Offset

0,3

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

Formula

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

Maple

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

Prog

(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

Crossrefs

Main diagonal of A347615.

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

Sequence in context: A060345 A361450 A171980 * A013782 A137841 A204940

Adjacent sequences: A347604 A347605 A347606 * A347608 A347609 A347610

Keyword

nonn

Author

Seiichi Manyama, Sep 08 2021

Status

approved