OFFSET
0,5
COMMENTS
A111595 is the triangle of coefficients of square of Hermite polynomials divided by 2^n with argument sqrt(x/2).
FORMULA
T(n, k) = n!/k!/2 for n-1>k>=0; T(k+1, k) = -k*(k+1), T(k, k) = 0 for k>=0.
EXAMPLE
Triangle begins:
0;
0,0;
1,-2,0;
3,3,-6,0;
12,12,6,-12,0;
60,60,30,10,-20,0;
360,360,180,60,15,-30,0;
2520,2520,1260,420,105,21,-42,0;
20160,20160,10080,3360,840,168,28,-56,0; ...
PROG
(PARI) T(n, k)=if(n<=k || k<0, 0, if(n-1==k, -k*(k+1), n!/k!/2))
CROSSREFS
KEYWORD
sign,tabl
AUTHOR
Paul D. Hanna, Aug 29 2005
STATUS
approved