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%I #5 May 29 2023 11:22:58
%S 1,4,13,43,152,575,2314,9870,44535,212242,1066327,5635369,31254046,
%T 181478525,1100796500,6960517564,45791562573,312867812160,
%U 2216414659873,16255306015303,123249020783620,964832925700315,7788943826367902,64770559745065226,554239921143411715
%N Antidiagonal sums of A363365.
%t A363365[n_,k_]:=((k-1)*(k+1)^(n+1)+k*n-k^2+1)/k^2; Table[Sum[A363365[n-k+1,k],{k,n}],{n,27}]
%Y Cf. A363365.
%K nonn
%O 1,2
%A _Stefano Spezia_, May 29 2023