A225695 Triangle read by rows of operator ordering coefficients corresponding to the Hermite polynomials H_n(x).

1, 1, 1, 3, 2, 3, 7, 17, 17, 7, 25, 76, 182, 76, 25, 27, 159, 454, 454, 159, 27, 331, 2582, 11653, 16948, 11653, 2582, 331

Offset

0,4

Links

Table of n, a(n) for n=0..27.

T. Amdeberhan, V. de Angelis, A. Dixit, V. H. Moll and C. Vignat, From sequences to polynomials and back, via operator orderings, 2013.

Carl M. Bender and Gerald V. Dunne, Polynomials and operator orderings, J. Math. Phys. 29 (1988), 1727-1731.

Example

Triangle begins:
1
1,1
3,2,3
7,17,17,7
25,76,182,76,25
27,159,454,454,159,27
331,2582,11653,16948,11653,2582,331
...

Crossrefs

Cf. A225694, A225696.

Sequence in context: A347112 A227104 A171721 * A226469 A073341 A227470

Adjacent sequences: A225692 A225693 A225694 * A225696 A225697 A225698

Keyword

nonn,tabl,more

Author

N. J. A. Sloane, May 27 2013

Status

approved