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A129337
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Maximal possible degree of a Chebyshev-type quadrature formula with n nodes, in the case of the constant weight function on [ -1,1].
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0
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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
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OFFSET
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1,2
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COMMENTS
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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.
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CROSSREFS
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KEYWORD
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more,nonn
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AUTHOR
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STATUS
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approved
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