A349117 - OEIS

%I #8 Nov 08 2021 09:11:05

%S 1,7,49,445,5266,77258,1349554,27306462,627568355,16142172173,

%T 459332766227,14324480721391,485783513552956,17798331858727376,

%U 700589353757045796,29484907446960975744,1321168518044435497005,62795290373559355285155,3155553461189975793914005

%N a(n) = Sum_{m=1..n} (Sum_{k=1..m} (Sum_{j=1..k} j^k)).

%H Vaclav Kotesovec, <a href="/A349117/b349117.txt">Table of n, a(n) for n = 1..200</a>

%F a(n) ~ c * n^n, where c = 1/(1 - 1/exp(1)) = A185393 = 1/A068996 = 1.581976706...

%t Table[Sum[Sum[Sum[j^k, {j, 1, k}], {k, 1, m}], {m, 1, n}], {n, 1, 20}]

%Y Cf. A086787, A349116.

%K nonn

%O 1,2

%A _Vaclav Kotesovec_, Nov 08 2021