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%I #7 Jan 02 2015 20:47:14
%S 1,3,3,5,5,7,7,7,9,9,9,9,11,11,11,11,13,13,13,13,13,15,15,15,15
%N Maximal possible degree of a Chebyshev-type quadrature formula with n nodes, in the case of the constant weight function on [ -1,1].
%C 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.
%H Klaus-Jurgen Forster, Georg-Peter Ostermeyer, <a href="http://dx.doi.org/10.1090/S0025-5718-1986-0829628-2">On Weighted Chebyshev-Type Quadrature Formulas</a>,Mathematics of Computation, Vol. 46, No. 174. (Apr., 1986), pp. 591-599. Table 1, p. 596.
%H Greg Kuperberg, <a href="http://dx.doi.org/10.1137/040615584">Numerical Cubature from Archimedes' Hat-box Theorem</a>, SIAM J. Numer. Anal. 44 (2006), no. 3, 908--935.
%Y Cf. A007828.
%K more,nonn
%O 1,2
%A _Paul Leopardi_, May 28 2007