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

%I #6 Sep 11 2024 13:36:17

%S 2,8,72,1680,126000,38811960,61785091368,616892274180000,

%T 45374160012072012000,28175746072918961153889000,

%U 166250736077540332478371155891000,10349136183590980028259106116944710102320,7466148323412227422384379930251940448396455130000

%N Obverse convolution (2n+1)**(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_] := n!;

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

%t Table[u[n], {n, 0, 13}]

%Y Cf. A005408, A000142, A374848.

%K nonn

%O 0,1

%A _Clark Kimberling_, Aug 28 2024