A376324 - OEIS

%I #6 Sep 22 2024 11:30:58

%S 1,7,63,819,17199,636363,43909047,5839903251,1524214748511,

%T 788019024980187,810871576704612423,1664719346974569304419,

%U 6827014041942708717422319,55961034101804383356710748843,917145387894472038833132462787927

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

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

%F a(n) = a(n-1)*A168614(n) for n>=1.

%t s[n_] := 4; t[n_] := 2^n + 1;

%t u[n_] := (1/6) Product[s[k] + t[n - k], {k, 0, n}];

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

%t (* or *)

%t Table[2^(n*(n+1)/2 - 1) * QPochhammer[-5, 1/2, n+1]/3, {n, 0, 15}] (* _Vaclav Kotesovec_, Sep 20 2024 *)

%Y Cf. A000051, A010709, A168614, A374848, A375053, A375054.

%K nonn

%O 0,2

%A _Clark Kimberling_, Sep 20 2024