A002398 Coefficients for step-by-step integration.

1, 3, 23, 165, 3802, 21385, 993605, 15198435, 394722916, 3814933122, 447827009070, 5229570190845, 862250830559382, 11802457085079375, 173406732097447849, 5443765223302501095, 1545512798280174555832, 27361456077246355572508, 9725198808628092900136884, 191684785790597591594500398

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn

Comments

This is the coefficient of f(x0) 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 = 0..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

Cf. A027486.

Column 0 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