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