A368561 - OEIS

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A368561

a(n) = Sum_{k=0..n} k! * n^k.

%I #9 Jan 13 2024 06:26:36

%S 1,2,11,184,6565,390806,34557919,4237440628,687219772553,

%T 142347286888210,36654963132246211,11483715014356017104,

%U 4300711472638444724653,1897241450053063830832078,973695564434830963964311655

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

%F a(n) ~ n! * n^n. - _Vaclav Kotesovec_, Jan 13 2024

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

%Y Cf. A058006, A112368, A112370, A112541.

%K nonn,easy

%O 0,2

%A _Seiichi Manyama_, Dec 30 2023