OFFSET
0,4
COMMENTS
After initial terms, all columns are equal to -A111556.
FORMULA
T(n, n)=1 and T(n+1, n)=-n-1, else T(n+k+1, k) = -A111556(k) for k>=1.
EXAMPLE
Triangle begins:
1;
-1,1;
-4,-2,1;
-24,-4,-3,1;
-184,-24,-4,-4,1;
-1664,-184,-24,-4,-5,1;
-17024,-1664,-184,-24,-4,-6,1;
-192384,-17024,-1664,-184,-24,-4,-7,1; ...
PROG
(PARI) T(n, k)=if(n<k || k<0, 0, if(n==k, 1, if(n==k+1, -n, -(n-k-1)*polcoeff(log(sum(i=0, n-k, (i+3)!/3!*x^i)), n-k-1))))
CROSSREFS
KEYWORD
sign,tabl
AUTHOR
Paul D. Hanna, Aug 07 2005
STATUS
approved