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 A368553 #10 Jan 13 2024 06:38:25 %S A368553 1,3,10,47,350,3825,54306,932155,18641526,424703541,10849407082, %T A368553 307010484775,9530121417806,321935349427865,11755877524413746, %U A368553 461405645429686867,19369555364568925350,865979372615474614877,41078366820527486805178 %N A368553 a(n) = Sum_{k=0..n} k^k * 2^(n-k). %F A368553 a(0) = 1; a(n) = 2*a(n-1) + n^n. %F A368553 a(n) ~ n^n. - _Vaclav Kotesovec_, Jan 13 2024 %o A368553 (PARI) a(n) = sum(k=0, n, k^k*2^(n-k)); %Y A368553 Cf. A326501, A349962. %K A368553 nonn,easy %O A368553 0,2 %A A368553 _Seiichi Manyama_, Dec 29 2023