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Obverse convolution (n)**(2^n); see Comments.
1

%I #4 Aug 28 2024 10:56:24

%S 1,4,36,640,21600,1370880,163924992,37150064640,16065713664000,

%T 13343315521536000,21404225432753602560,66631099907380661452800,

%U 404128087449517604339712000,4791300434691082493755392000000,111343541043408070030243833839616000

%N Obverse convolution (n)**(2^n); see Comments.

%C See A374848 for the definition of obverse convolution and a guide to related sequences.

%t s[n_] := n; t[n_] := 2^n;

%t u[n_] := Product[s[k] + t[n - k], {k, 0, n}]

%t Table[u[n], {n, 0, 20}]

%Y Cf. A000027, A000079, A374848.

%K nonn

%O 0,2

%A _Clark Kimberling_, Aug 18 2024