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Obverse convolution (n!)**A000045; see Comments.
1

%I #4 Sep 13 2024 08:04:40

%S 1,2,8,108,6048,2016000,4704480000,90747697360320,

%T 16354583259191654400,30715766088740592418944000,

%U 663127739407725552738699264000000,179787972724005939376371515117626982400000,664012371757346621597356008815791014131773440000000

%N Obverse convolution (n!)**A000045; see Comments.

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

%t s[n_] := n!; t[n_] := Fibonacci[n];

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

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

%Y Cf. A000045, A000142, A374848.

%K nonn

%O 0,2

%A _Clark Kimberling_, Sep 12 2024