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%I #6 Feb 16 2025 08:32:59
%S -2,1,-1,1,-5,9,49,-216,216,5103,-32200,45000,-58564,629325,-2025000,
%T 2025000,-1976763932,27510743799,-113071253400,142943535000,
%U 4373849390625,-88878097916608,606530263046400,-1707698764800000,1707698764800000
%N Triangle of coefficients (read in increasing degree) of the polynomials whose roots are weights in Legendre-Gauss quadrature.
%H Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/Legendre-GaussQuadrature.html">Legendre-Gauss Quadrature</a>
%e Polynomials are -2 + x, -1 + x, -5 + 9*x, 49 - 216*x + 216*x^2, 5103 - 32200*x + 45000*x^2, ... hence we get
%e -2, 1; -1, 1; -5, 9; 49, -216, 216; 5103, -32200, 45000; ...
%K sign,tabf,changed
%O 1,1
%A _Eric W. Weisstein_, Sep 16 2005