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%I #4 May 20 2023 16:08:55
%S 1,1,4,12,37,123,440,1686,6901,30085,139212,681336,3515397,19064135,
%T 108370384,644142962,3994439189,25789465377,173033812804,
%U 1204425693988,8683782562597,64757730613875,498827437211176,3964154812486062,32463601480302005,273670283527555869
%N Antidiagonal sums of A362885.
%F a(n) = Sum_{k=0..n} (1 + 2*(n - k))*k^(n-k).
%t Join[{1},Table[Sum[(1+2(n-k))k^(n-k),{k,0,n}],{n,25}]]
%Y Cf. A362885.
%K nonn
%O 0,3
%A _Stefano Spezia_, May 08 2023