A002403 Coefficients for step-by-step integration.

1, 15, 528, 3990, 232305, 4262895, 128928632, 1420184304, 186936865290, 2416826727315, 436683783190248, 6495589851083190, 102988034105173217, 3468347338313592735, 1050976389766688264880, 19771777981152440202960, 7439086137698489458667340, 154685313008524836907739370, 3369940174123349111629009120

Offset: 2

Author

N. J. A. Sloane

Keywords

• nonn

Comments

These are the negated coefficients of f(x_{-2}) 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 = 2..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 2 (negated) 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 from Jack W Grahl, Feb 28 2021