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A349891 a(n) = Sum_{k=0..n} (-1)^(n-k) * k^(k*n). 3

%I

%S 1,0,16,19619,4294436111,298022124379673232,

%T 10314423867168242405282727694,

%U 256923577039829077600620024397823949901879,6277101735175093150055816289268196664555481440709896684157

%N a(n) = Sum_{k=0..n} (-1)^(n-k) * k^(k*n).

%F G.f.: Sum_{k>=0} k^(k^2) * x^k/(1 + k^k * x).

%F a(n) ~ n^(n^2). - _Vaclav Kotesovec_, Dec 10 2021

%o (PARI) a(n) = sum(k=0, n, (-1)^(n-k)*k^(k*n));

%o (PARI) my(N=10, x='x+O('x^N)); Vec(sum(k=0, N, k^k^2*x^k/(1+k^k*x)))

%Y Cf. A120485, A349886, A349889.

%K nonn

%O 0,3

%A _Seiichi Manyama_, Dec 04 2021

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Last modified September 28 14:44 EDT 2022. Contains 357073 sequences. (Running on oeis4.)