A002402 Coefficients for step-by-step integration.

1, 8, 57, 1292, 7135, 325560, 4894715, 125078632, 1190664342, 137798986920, 1587893097945, 258558380321076, 3497709055775649, 50821738502398864, 1578753057237451095, 443765620067972169968, 7782162960545369351956, 2741163034641146307693072, 53564617257321061756508358, 1100369599246721484969558920

Offset: 1

Author

N. J. A. Sloane

Keywords

• nonn

Comments

These are the coefficients of f(x_{-1}) in the estimate for y(x0) - y(x1).

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

• 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]

Crossrefs

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.

Extensions

More terms by Jack W Grahl, Feb 28 2021