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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.

A361828 a(0) = 1; a(n+1) = Sum_{k=0..n} k^k * a(n-k).

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%I A361828 #14 Mar 26 2023 10:25:24
%S A361828 1,1,2,7,40,338,3841,54821,939335,18744832,426390069,10881017916,
%T A361828 307686450208,9546443638409,322375619648549,11769010007246745,
%U A361828 461834905502223078,19384809864763869231,866564718107731746860,41102477939620052536314
%N A361828 a(0) = 1; a(n+1) = Sum_{k=0..n} k^k * a(n-k).
%F A361828 G.f.: 1 / (1 - x * Sum_{k>=0} (k*x)^k).
%F A361828 a(n) ~ exp(-1) * n^(n-1). - _Vaclav Kotesovec_, Mar 26 2023
%t A361828 nmax = 20; CoefficientList[Series[1/(1 - x - x*Sum[(k*x)^k, {k, 1, nmax}]), {x, 0, nmax}], x] (* _Vaclav Kotesovec_, Mar 26 2023 *)
%o A361828 (PARI) my(N=20, x='x+O('x^N)); Vec(1/(1-x*(sum(k=0, N, (k*x)^k))))
%Y A361828 Cf. A000312, A051295, A277610.
%K A361828 nonn,easy
%O A361828 0,3
%A A361828 _Seiichi Manyama_, Mar 26 2023