%I M4533 N1922 #29 Oct 30 2019 03:42:48

%S 1,8,45,416,1685,31032,1603182,13856896,132843888,6551143600

%N Coefficients for numerical integration.

%C From _Petros Hadjicostas_, Oct 29 2019: (Start)

%C This is the secondary main diagonal of A324124 (which is essentially Table I on p. 217 in Luke (1952)), except that a(7) = 1603182 must be replaced with 1603182/7 = 229026. 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 1603182/4054050 = 229026/579150), 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 A328885. (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. A002685, A328866, A328884, A328885.

%Y Secondary diagonal of A324124 (except for a(7)).

%K nonn

%O 1,2

%A _N. J. A. Sloane_