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One half of third column of triangle A075181.
2

%I #8 Aug 08 2024 07:28:56

%S 1,11,105,1020,10500,115920,1375920,17539200,239500800,3492720000,

%T 54226972800,893577484800,15583119552000,286816578048000,

%U 5557616064000000,113108602134528000,2412627824775168000

%N One half of third column of triangle A075181.

%C Also one half of third diagonal of triangle A048594.

%F a(n) = A075181(n+3, 2)/2 = A048594(n+3, n+1)/2, n>=0.

%F a(n) = (n+1)!*S1(n+3, n+1)/2 with S1(n, m) := A008275(n, m) (Stirling1).

%Y Cf. A008275, A048594, A075181.

%K nonn,easy

%O 0,2

%A _Wolfdieter Lang_, Sep 19 2002