Triangle of coefficients (read in increasing degree) of the polynomials whose roots are weights in Legendre-Gauss quadrature.

A112734

Triangle of coefficients (read in increasing degree) of the polynomials whose roots are weights in Legendre-Gauss quadrature.

Terms

    a(0) =-2a(1) =1a(2) =-1a(3) =1a(4) =-5a(5) =9a(6) =49a(7) =-216a(8) =216a(9) =5103a(10) =-32200a(11) =45000a(12) =-58564a(13) =629325a(14) =-2025000a(15) =2025000a(16) =-1976763932a(17) =27510743799a(18) =-113071253400a(19) =142943535000

External references