A112488 Third column of triangle A112486 used for e.g.f.s of |Stirling1| = |A008275| diagonals.

3, 35, 340, 3304, 33740, 367884, 4302216, 53961336, 724534272, 10386470016, 158507316864, 2567670088320, 44027031755520, 796963357981440, 15192135816261120, 304269507433658880, 6388907821376256000

Offset: 2

Author

Wolfdieter Lang, Sep 12 2005

Keywords

• nonn
• easy

Examples

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

Links

• G. C. Greubel, Table of n, a(n) for n = 2..445

Programs

Mathematica

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 *)

Formula

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

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