cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A002685 Coefficients for numerical integration.

This page as a plain text file.
%I A002685 M1702 N0671 #34 Oct 30 2019 03:43:14
%S A002685 2,6,34,250,972,15498,766808,5961306,54891535,2488870076
%N A002685 Coefficients for numerical integration.
%C A002685 From _Petros Hadjicostas_, Oct 29 2019: (Start)
%C A002685 This is the main diagonal of A324124 (which is essentially the table on p. 217 in Luke (1952)), except that a(7) = 766808 must be replaced with 766808/7 = 109544. This is necessary to give a unique definition to the terms of A324124. For more information, see the comments for A324124.
%C A002685 Luke (1952) is not wrong (since 766808/4054050 = 109544/579150), but his integers for the case n = 7 have to modified as mentioned in the documentation of array A324124. For an improved version of this sequence, see A328884. (End)
%D A002685 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
%D A002685 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
%H A002685 Yudell L. Luke, <a href="https://doi.org/10.1090/S0025-5718-1952-0050993-8">Mechanical quadrature near a singularity</a>, Math. Comp. 6 (1952), 215-219.
%Y A002685 Cf. A002686, A328866, A328884, A328885.
%Y A002685 Main diagonal of A324124 (except for a(7)).
%K A002685 nonn
%O A002685 1,1
%A A002685 _N. J. A. Sloane_