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 A363042 #9 May 23 2023 08:17:44 %S A363042 1,1,2,6,17,57,233,989,4602,23794,129285,751973,4680041,30523105, %T A363042 210159654,1521122754,11481486845,90604333205,744420806913, %U A363042 6348340033789,56202980961206,514994183598470,4877587872447801,47711923353493817,481072714151555073,4995769099914083313 %N A363042 Row sums of A363041. %F A363042 a(n) = Sum_{k = 0..floor((n-1)/2)} Stirling2(n+1,n-2*k)/binomial(n-2*k+1,2). %p A363042 seq(add( Stirling2(n+1,n-2*k)/binomial(n-2*k+1,2), k = 0..floor((n-1)/2) ), n = 1..30); %o A363042 (PARI) a(n) = sum(k = 0, (n-1)\2, stirling(n+1, n-2*k, 2)/binomial(n-2*k+1, 2)); \\ _Michel Marcus_, May 21 2023 %Y A363042 Cf. A008277, A363041. %K A363042 nonn,easy %O A363042 1,3 %A A363042 _Peter Bala_, May 14 2023