This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A062814 #16 Mar 26 2022 10:16:29
%S A062814 0,1,6,38,326,3739,53808,927420,18578248,423649565,10828720882,
%T A062814 306545462810,9518362652994,321605286435431,11745699035775884,
%U A062814 461063683165975712,19357125741005727156,865493449685182242777
%N A062814 a(n) = Sum_{i=0..n-1} i * (n - i)^(n - i).
%C A062814 Partial sums of A001923. - _Amiram Eldar_, Mar 26 2022
%H A062814 Seiichi Manyama, <a href="/A062814/b062814.txt">Table of n, a(n) for n = 1..387</a>
%H A062814 Andrew Cusumano, <a href="https://www.jstor.org/stable/10.4169/amer.math.monthly.120.07.660">Problem 11724</a>, The American Mathematical Monthly, Vol. 120, No. 7 (2013), p. 661; <a href="http://www.jstor.org/stable/10.4169/amer.math.monthly.122.7.700">A Limit Computation</a>, Solution to Problem 11724 by Hosam M. Mahmoud, ibid., Vol. 122, No. 7 (2015), pp. 706-707.
%F A062814 From _Amiram Eldar_, Mar 26 2022: (Start)
%F A062814 a(n) = Sum_{k=0..n-1} A001923(k).
%F A062814 Limit_{n->oo} a(n+2)/a(n+1) - a(n+1)/a(n) = e (Cusumano, 2013). (End)
%t A062814 Table[Sum[i*(n - i)^(n - i), {i, 0, -1 + n}], {n, 1, 18}]
%o A062814 (PARI) a(n) = sum(i=0, n-1, i*(n-i)^(n-i)); \\ _Michel Marcus_, Mar 26 2019
%Y A062814 Cf. A001113, A001923, A062813.
%K A062814 nonn,easy
%O A062814 1,3
%A A062814 _Olivier Gérard_, Jun 23 2001