A106341 Column 1 of triangle A106340.

1, -3, 9, -45, 585, -21105, 1858185, -367958745, 157169540745, -141321010837545, 263377249955934345, -1006907528155404620745, 7840649068128410073284745, -123736566059916445807102676745, 3943516183297402946604761210564745

Offset: 0

Author

Paul D. Hanna, May 01 2005

Keywords

• sign

Comments

Triangle A106340 is equal to the matrix inverse of the triangle defined by [A106340^-1](n,k) = (n-k)!*A008278(n+1,k+1), for n>=k>=0, where A008278 is a triangle of Stirling numbers of 2nd kind.

Crossrefs

Cf. A106340, A008278.

Programs

PARI

{a(n)=(matrix(n+2,n+2,r,c,if(r>=c,(r-c)!* sum(m=0,r-c+1,(-1)^(r-c+1-m)*m^r/m!/(r-c+1-m)!)))^-1)[n+2,2]}