A347607 - OEIS

%I #29 Sep 09 2021 18:36:20

%S 1,1,5,3010,365749566870782,

%T 8630901377559029573671524821295260243701883575513498104067

%N Number of partitions of n^n.

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

%C a(7) = 1.5782589391...*10^1004. - _Chai Wah Wu_, Sep 09 2021

%H Seiichi Manyama, <a href="/A347607/b347607.txt">Table of n, a(n) for n = 0..6</a>

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

%p a:= n-> combinat[numbpart](n^n):

%p seq(a(n), n=0..6);  # _Alois P. Heinz_, Sep 09 2021

%o (PARI) a(n) = numbpart(n^n);

%o (Python)

%o from sympy.functions import partition

%o def A347607(n): return partition(n**n) # _Chai Wah Wu_, Sep 09 2021

%Y Main diagonal of A347615.

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

%K nonn

%O 0,3

%A _Seiichi Manyama_, Sep 08 2021