A013630 Irregular triangle read by rows, giving coefficients of polynomials arising as numerators of certain Hilbert series.

1, 1, 1, 1, 1, 8, 22, 8, 1, 1, 34, 295, 565, 295, 34, 1

Offset: 2

Author

N. J. A. Sloane

Keywords

• tabf
• nonn
• more

Comments

The row 1,8,22,8,1 occurs on p. 78 of Ottaviani as the numerator for the Hilbert series of the invariant ring of eight ordered points in a projective space. - Tom Copeland, Feb 27 2020

Examples

			Triangle begins:
1,
1, 1, 1,
1, 8, 22, 8, 1,
1, 34, 295, 565, 295, 34, 1,
...
		

Links

• G. Ottaviani, Five lectures on projective invariants, arXiv preprint arXiv:1305.2749 [math.AG], 2013.
• D.-N. Verma, Towards Classifying Finite Point-Set Configurations, 1997, Unpublished. [Scanned copy of annotated version of preprint given to me by the author in 1997. - _N. J. A. Sloane_, Oct 04 2021]