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A112239 Matrix logarithm of triangle A111595. 2

%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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Last modified March 29 00:26 EDT 2024. Contains 371264 sequences. (Running on oeis4.)