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

%I #5 Sep 11 2024 13:36:10

%S 2,12,150,3528,151470,11835252,1695534750,450137811600,

%T 223862873592150,210586842089730540,377818996488206253750,

%U 1301732219036581449975000,8661531388920997249932018750,111817906864517248017080187253860,2811403559627160557559224217577548750

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

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

%t s[n_] := 2 n + 1; 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. A005408, A000079, A374848.

%K nonn

%O 0,1

%A _Clark Kimberling_, Aug 28 2024