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A112239 Matrix logarithm of triangle A111595. 2
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, 181440, 181440, 90720, 30240, 7560, 1512, 252, 36, -72, 0 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,5

COMMENTS

A111595 is the triangle of coefficients of square of Hermite polynomials divided by 2^n with argument sqrt(x/2).

LINKS

Table of n, a(n) for n=0..54.

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

Cf. A112239.

Sequence in context: A245332 A202035 A247508 * A298814 A021835 A112476

Adjacent sequences:  A112236 A112237 A112238 * A112240 A112241 A112242

KEYWORD

sign,tabl

AUTHOR

Paul D. Hanna, Aug 29 2005

STATUS

approved

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Last modified January 27 05:32 EST 2021. Contains 340451 sequences. (Running on oeis4.)