A303991 - OEIS

%I #16 Jan 07 2024 06:19:40

%S 1,18,804,70980,10436805,2303750526,712510404592,294018013725192,

%T 156070751204023425,103597044789173411410,84072367255899882570876,

%U 81892130447332894817380044,94289343231845338982163322837,126676207083751543195799431746150,196394200592428254386554058525461440

%N Row sums of triangle A303990.

%H Seiichi Manyama, <a href="/A303991/b303991.txt">Table of n, a(n) for n = 1..214</a>

%F a(n) = Sum_{k=1..n} A303990(n, k) = Sum_{k=1..n} n^k * k^n, for n >= 1.

%F a(n) ~ n^(2*n). - _Vaclav Kotesovec_, Feb 09 2022

%t Total /@ Table[n^k k^n, {n, 15}, {k, n}] (* _Michael De Vlieger_, May 24 2018 *)

%o (PARI) a(n) = sum(k=1, n, n^k * k^n); \\ _Michel Marcus_, May 25 2018

%Y Cf. A303990, A368505.

%K nonn,easy

%O 1,2

%A _Wolfdieter Lang_, May 22 2018