OFFSET
0,2
FORMULA
T(n, 1) = (n+1)*A113291(n).
EXAMPLE
Triangle begins:
0;
2,0;
-3,0,0;
6,4,4,0;
-10,-10,-10,0,0;
19,24,30,12,6,0;
-35,-49,-70,-42,-21,0,0;
72,104,164,128,84,24,8,0;
-150,-216,-360,-324,-252,-108,-36,0,0;
343,480,820,800,710,400,180,40,10,0; ...
PROG
(PARI) {T(n, k)=local(x=X+O(X^(n+2)), y=Y+O(Y^(n+2)), M=matrix(n+1, n+1, r, c, if(r==c, 1, if(r>c, r*polcoeff(polcoeff(1/(1-x*y)+x/((1-x*y)*(1+x+x*y)), r-1, X), c-1, Y))))); if(n<k, 0, (sum(j=1, n+1, -(M^0-M)^j/j))[n+1, k+1])}
CROSSREFS
KEYWORD
sign,tabl
AUTHOR
Paul D. Hanna, Oct 23 2005
STATUS
approved