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%I M1702 N0671 #34 Oct 30 2019 03:43:14
%S 2,6,34,250,972,15498,766808,5961306,54891535,2488870076
%N Coefficients for numerical integration.
%C From _Petros Hadjicostas_, Oct 29 2019: (Start)
%C 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 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 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
%H 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 Cf. A002686, A328866, A328884, A328885.
%Y Main diagonal of A324124 (except for a(7)).
%K nonn
%O 1,1
%A _N. J. A. Sloane_
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