OFFSET
1,2
COMMENTS
These are the results reported in reference [1]. Spherical designs in 3 dimensions (cf. A007828) also project to Chebyshev-type quadrature rules for the constant weight function on [ -1,1] (see reference [2]), but apparently this yields a smaller maximum degree for any given n.
LINKS
Klaus-Jurgen Forster, Georg-Peter Ostermeyer, On Weighted Chebyshev-Type Quadrature Formulas,Mathematics of Computation, Vol. 46, No. 174. (Apr., 1986), pp. 591-599. Table 1, p. 596.
Greg Kuperberg, Numerical Cubature from Archimedes' Hat-box Theorem, SIAM J. Numer. Anal. 44 (2006), no. 3, 908--935.
CROSSREFS
KEYWORD
more,nonn
AUTHOR
Paul Leopardi, May 28 2007
STATUS
approved