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Irregular triangle read by rows, giving coefficients of polynomials arising as numerators of certain Hilbert series.
1

%I #30 Apr 16 2023 21:20:38

%S 1,1,1,1,1,8,22,8,1,1,34,295,565,295,34,1

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

%C 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

%H G. Ottaviani, <a href="https://arxiv.org/abs/1305.2749">Five lectures on projective invariants</a>, arXiv preprint arXiv:1305.2749 [math.AG], 2013.

%H D.-N. Verma, <a href="/A012249/a012249.pdf">Towards Classifying Finite Point-Set Configurations</a>, 1997, Unpublished. [Scanned copy of annotated version of preprint given to me by the author in 1997. - _N. J. A. Sloane_, Oct 04 2021]

%e Triangle begins:

%e 1,

%e 1, 1, 1,

%e 1, 8, 22, 8, 1,

%e 1, 34, 295, 565, 295, 34, 1,

%e ...

%K tabf,nonn,more

%O 2,6

%A _N. J. A. Sloane_