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A002686 Coefficients for numerical integration.
(Formerly M4533 N1922)
5
1, 8, 45, 416, 1685, 31032, 1603182, 13856896, 132843888, 6551143600 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
From Petros Hadjicostas, Oct 29 2019: (Start)
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.
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)
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
Secondary diagonal of A324124 (except for a(7)).
Sequence in context: A009369 A120044 A328885 * A306047 A110348 A336999
KEYWORD
nonn
AUTHOR
STATUS
approved

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Last modified March 28 04:05 EDT 2024. Contains 371235 sequences. (Running on oeis4.)