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A002402
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Coefficients for step-by-step integration.
(Formerly M4547 N1931)
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12
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1, 8, 57, 1292, 7135, 325560, 4894715, 125078632, 1190664342, 137798986920, 1587893097945, 258558380321076, 3497709055775649, 50821738502398864, 1578753057237451095, 443765620067972169968, 7782162960545369351956, 2741163034641146307693072, 53564617257321061756508358, 1100369599246721484969558920
(list;
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refs;
listen;
history;
text;
internal format)
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OFFSET
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1,2
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COMMENTS
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These are the coefficients of f(x_{-1}) in the estimate for y(x0) - y(x1).
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REFERENCES
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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).
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LINKS
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Jack W Grahl, Table of n, a(n) for n = 1..100
Jack W Grahl, Explanation of how this sequence is calculated
Jack W Grahl, Python code to calculate this and related sequences
W. F. Pickard, Tables for the step-by-step integration of ordinary differential equations of the first order, J. ACM 11 (1964), 229-233.
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]
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CROSSREFS
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Column 1 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: A241595 A208596 A324205 * A015464 A144781 A026948
Adjacent sequences: A002399 A002400 A002401 * A002403 A002404 A002405
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane.
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EXTENSIONS
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More terms by Jack W Grahl, Feb 28 2021
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STATUS
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approved
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