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The MultiExp Gaussian quadrature rule proposed by Gill and Chien has manycompelling properties for the integration of radial integrands encountered inelectronic structure, but thus far has only been computed up to N = 50, withsome nontrivial holes in the existing tables for 27 <= N < 50. In this work, asimple recipe is developed to compute the MultiExp Gaussian quadrature forlarger N at close to the double precision machine epsilon. Notably, this recipeuses only double precision operations, so no computer algebra systems orarbitrary precision libraries are needed. There are three primary outcomes: (A)The MultiExp tables for all N <= 1000 are presented in a supplement to thisreport - these might prove useful in building better medium and high qualitydensity functional theory quadrature grids (B) these tables are compared to theknown Gill and Chien tables with excellent agreement obtained modulo anoticeable problem with the weights of the largest N = 50 Gill and Chien tableand (C) it may be the case that the Boley-Golub plus extremely high-orderGauss-Legendre quadrature approximation recipe developed in this work could beused to automatically derive other quadrature rules throughout electronicstructure theory and beyond.

Simple Computation of the MultiExp Gaussian Quadrature in Double Precision