A106341 - OEIS

A106341

Column 1 of triangle A106340.

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

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OFFSET

0,2

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.

LINKS

Table of n, a(n) for n=0..14.

PROG

(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]}

CROSSREFS

Cf. A106340, A008278.

Sequence in context: A027616 A245140 A013492 * A065407 A180501 A188678

Adjacent sequences: A106338 A106339 A106340 * A106342 A106343 A106344

KEYWORD

sign

AUTHOR

Paul D. Hanna, May 01 2005

STATUS

approved