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%I #34 Nov 04 2023 20:13:01
%S 1,1,2,4,5,30,9,92,106
%N Number of invariants in Hilbert basis for binary forms of degree n.
%C Extending this is related to a "gorgeous open question of great antiquity" [Towber].
%C Comment "The linear form has no invariants. The binary quadratic and cubic only have one invariant." by Abdelmalek Abdesselam, Nov 26, 2017 to MathOverflow question 286872. - _Michael Somos_, Nov 02 2023
%D Roe Goodman and Nolan R. Wallach, Representations and invariants of the classical groups, Cambridge Univ. Press, Cambridge, 1998
%D P. J. Olver, Classical Invariant Theory, Cambridge Univ. Press, p. 40.
%H A. E. Brouwer and M. Popoviciu, <a href="http://dx.doi.org/10.1016/j.jsc.2010.03.003">The invariants of the binary nonic</a>, J. Symb. Comput. 45 (2010) 709-720.
%H A. E. Brouwer and M. Popoviciu, <a href="http://dx.doi.org/10.1016/j.jsc.2010.03.002">The invariants of the binary decimic</a>, J. Symb. Comput. 45 (2010) 837-843.
%H MathOverflow, <a href="https://mathoverflow.net/q/286872/">What is currently feasible in invariant theory for binary forms?</a> question 286872, Nov 24, 2017.
%H J. Towber, <a href="http://dx.doi.org/10.1090/S0273-0979-99-00795-8">Review of "Representations and Invariants of the Classical Groups" by Roe Goodman and Nolan R. Wallach</a>, Bull. Amer. Math. Soc., 36 (1999), 533-538.
%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Invariant_of_a_binary_form">Invariant of a binary form</a>.
%Y Cf. A036984.
%K nonn,nice,hard,more
%O 2,3
%A _N. J. A. Sloane_
%E a(9)-a(10) from _Andries E. Brouwer_, Feb 17 2015
%E First term 0 removed by _Michael Somos_, Nov 02 2023
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