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Triangle read by rows of operator ordering coefficients corresponding to the Hermite polynomials H_n(x).
0

%I #11 Jan 02 2019 09:42:20

%S 1,1,1,3,2,3,7,17,17,7,25,76,182,76,25,27,159,454,454,159,27,331,2582,

%T 11653,16948,11653,2582,331

%N Triangle read by rows of operator ordering coefficients corresponding to the Hermite polynomials H_n(x).

%H T. Amdeberhan, V. de Angelis, A. Dixit, V. H. Moll and C. Vignat, <a href="http://dauns01.math.tulane.edu/~vhm/papers_html/ordering1.pdf">From sequences to polynomials and back, via operator orderings</a>, 2013.

%H Carl M. Bender and Gerald V. Dunne, <a href="http://dx.doi.org/10.1063/1.527869">Polynomials and operator orderings</a>, J. Math. Phys. 29 (1988), 1727-1731.

%e Triangle begins:

%e 1

%e 1,1

%e 3,2,3

%e 7,17,17,7

%e 25,76,182,76,25

%e 27,159,454,454,159,27

%e 331,2582,11653,16948,11653,2582,331

%e ...

%Y Cf. A225694, A225696.

%K nonn,tabl,more

%O 0,4

%A _N. J. A. Sloane_, May 27 2013