|
|
A106341
|
|
Column 1 of triangle A106340.
|
|
1
|
|
|
1, -3, 9, -45, 585, -21105, 1858185, -367958745, 157169540745, -141321010837545, 263377249955934345, -1006907528155404620745, 7840649068128410073284745, -123736566059916445807102676745, 3943516183297402946604761210564745
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
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
|
|
|
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
|
|
|
KEYWORD
|
sign
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|