A002685 Coefficients for numerical integration.

2, 6, 34, 250, 972, 15498, 766808, 5961306, 54891535, 2488870076

Offset: 1

Author

N. J. A. Sloane

Keywords

• nonn

Comments

From Petros Hadjicostas, Oct 29 2019: (Start)

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.

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)

References

• N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
• N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Links

• Yudell L. Luke, Mechanical quadrature near a singularity, Math. Comp. 6 (1952), 215-219.

Crossrefs

Cf. A002686, A328866, A328884, A328885.

Main diagonal of A324124 (except for a(7)).