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A036983 Number of invariants in Hilbert basis for binary forms of degree n. 5
0, 1, 1, 2, 4, 5, 30, 9, 92, 106 (list; graph; refs; listen; history; text; internal format)
OFFSET

2,4

COMMENTS

Extending this is related to a "gorgeous open question of great antiquity" [Towber].

REFERENCES

Roe Goodman and Nolan R. Wallach, Representations and invariants of the classical groups, Cambridge Univ. Press, Cambridge, 1998

P. J. Olver, Classical Invariant Theory, Cambridge Univ. Press, p. 40.

LINKS

Table of n, a(n) for n=2..11.

A. E. Brouwer and M. Popoviciu, The invariants of the binary nonic, J. Symb. Comput. 45 (2010) 709-720.

A. E. Brouwer and M. Popoviciu, The invariants of the binary decimic, J. Symb. Comput. 45 (2010) 837-843.

J. Towber, Review of "Representations and Invariants of the Classical Groups" by Roe Goodman and Nolan R. Wallach, Bull. Amer. Math. Soc., 36 (1999), 533-538.

CROSSREFS

Cf. A036984.

Sequence in context: A277371 A199929 A126666 * A154775 A210418 A167454

Adjacent sequences:  A036980 A036981 A036982 * A036984 A036985 A036986

KEYWORD

nonn,nice,hard,more

AUTHOR

N. J. A. Sloane

EXTENSIONS

a(10)-a(11) from Andries E. Brouwer, Feb 17 2015

STATUS

approved

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Last modified December 9 21:41 EST 2016. Contains 278987 sequences.