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Number of partitions of n^n into n or more parts.
3

%I #11 Sep 08 2021 22:29:01

%S 1,1,4,2996,365749566865192,

%T 8630901377559029573671524821295260243701883575513285157821

%N Number of partitions of n^n into n or more parts.

%C The next term is too large to include.

%F a(n) = [x^(n^n)] Sum_{k>=n} x^k / Product_{j=1..k} (1 - x^j).

%F a(n) = A347607(n) + A347606(n) - A238000(n).

%Y Cf. A238000, A347585, A347606, A347607.

%K nonn

%O 0,3

%A _Seiichi Manyama_, Sep 08 2021