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A376324 (1/6) times obverse convolution (4)**(2^n + 1); see Comments.

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%I A376324 #6 Sep 22 2024 11:30:58
%S A376324 1,7,63,819,17199,636363,43909047,5839903251,1524214748511,
%T A376324 788019024980187,810871576704612423,1664719346974569304419,
%U A376324 6827014041942708717422319,55961034101804383356710748843,917145387894472038833132462787927
%N A376324 (1/6) times obverse convolution (4)**(2^n + 1); see Comments.
%D A376324 See A374848 for the definition of obverse convolution and a guide to related sequences.
%F A376324 a(n) = a(n-1)*A168614(n) for n>=1.
%t A376324 s[n_] := 4; t[n_] := 2^n + 1;
%t A376324 u[n_] := (1/6) Product[s[k] + t[n - k], {k, 0, n}];
%t A376324 Table[u[n], {n, 0, 20}]
%t A376324 (* or *)
%t A376324 Table[2^(n*(n+1)/2 - 1) * QPochhammer[-5, 1/2, n+1]/3, {n, 0, 15}] (* _Vaclav Kotesovec_, Sep 20 2024 *)
%Y A376324 Cf. A000051, A010709, A168614, A374848, A375053, A375054.
%K A376324 nonn
%O A376324 0,2
%A A376324 _Clark Kimberling_, Sep 20 2024