%I #7 Jun 13 2017 22:38:44
%S 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,
%T 15,-30,0,2520,2520,1260,420,105,21,-42,0,20160,20160,10080,3360,840,
%U 168,28,-56,0,181440,181440,90720,30240,7560,1512,252,36,-72,0
%N Matrix logarithm of triangle A111595.
%C A111595 is the triangle of coefficients of square of Hermite polynomials divided by 2^n with argument sqrt(x/2).
%F 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.
%e Triangle begins:
%e 0;
%e 0,0;
%e 1,-2,0;
%e 3,3,-6,0;
%e 12,12,6,-12,0;
%e 60,60,30,10,-20,0;
%e 360,360,180,60,15,-30,0;
%e 2520,2520,1260,420,105,21,-42,0;
%e 20160,20160,10080,3360,840,168,28,-56,0; ...
%o (PARI) T(n,k)=if(n<=k || k<0,0,if(n-1==k,-k*(k+1),n!/k!/2))
%Y Cf. A112239.
%K sign,tabl
%O 0,5
%A _Paul D. Hanna_, Aug 29 2005
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