A002400 Coefficients for step-by-step integration.

5, 111, 5232, 49910, 3527745, 76435695, 2673350008, 33507517680, 4954123399050, 71186377398675, 14169975006172392, 230478985529218998, 3970388091885696481, 144475785096372785055, 47074452451240708494000, 948198128552832829175504, 380523626987174239611912012, 8410876353715824882741160170

Offset: 2

Author

N. J. A. Sloane

Keywords

• nonn

Comments

These are the coefficients of f(x_{-2}) in the estimate for y(x1) - y(x0).

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 of A260780.

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