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A002406 Coefficients for step-by-step integration.
(Formerly M4486 N1899)
12
1, 8, -15, 212, -865, 31560, -397285, 8760472, -73512810, 7619823960, -79612742055, 11869626289356, -148201090063455, 2000757995572336, -58073355854498985, 15325818191986269968, -253388757170439526636, 84454267865884467099120, -1566608640281391343515450, 30637801046762651850275960 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
COMMENTS
These are the coefficients of f(x_{-n}) in the estimate for y(x0) - y(x1) which has n + 2 terms.
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
W. F. Pickard, Tables for the step-by-step integration of ordinary differential equations of the first order, J. ACM 11 (1964), 229-233. [Annotated scanned copy]
CROSSREFS
Second diagonal of A260781.
The following sequences are taken from page 231 of Pickard (1964): A002397, A002398, A002399, A002400, A002401, A002402, A002403, A002404, A002405, A002406, A260780, A260781.
Sequence in context: A067686 A283821 A145219 * A212593 A153700 A343210
KEYWORD
sign
AUTHOR
EXTENSIONS
More terms from Jack W Grahl, Feb 28 2021
STATUS
approved

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Last modified March 28 14:21 EDT 2024. Contains 371254 sequences. (Running on oeis4.)