A112488 - OEIS

%I #9 Jan 22 2017 21:54:33

%S 3,35,340,3304,33740,367884,4302216,53961336,724534272,10386470016,

%T 158507316864,2567670088320,44027031755520,796963357981440,

%U 15192135816261120,304269507433658880,6388907821376256000

%N Third column of triangle A112486 used for e.g.f.s of |Stirling1| = |A008275| diagonals.

%H G. C. Greubel, <a href="/A112488/b112488.txt">Table of n, a(n) for n = 2..445</a>

%F a(n) = A112486(n, 2), n>=2. a(0)=0=a(1).

%F a(n) = (n+2)*a(n-1) + (n+1)*A001705(n-1), n>=2, a(1):=0.

%e 340 = a(4) = 6*35 + 5*26.

%t A112486[n_, k_] :=  A112486[n, k] = Which[n < 0 || k < 0 || k > n, 0, n == 0, 1, True, (n + k)*A112486[n - 1, k] + (n + k - 1)*A112486[n - 1, k - 1]]; Table[A112486[n, 2], {n, 2, 50}] (* _G. C. Greubel_, Jan 21 2017 *)

%K nonn,easy

%O 2,1

%A _Wolfdieter Lang_, Sep 12 2005