A002398 Coefficients for step-by-step integration. (Formerly M3101 N1256)

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

Offset

0,2

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.

Sequence in context: A331723 A212395 A027141 * A110065 A002816 A320265

Adjacent sequences: A002395 A002396 A002397 * A002399 A002400 A002401

Keyword

nonn

Author

N. J. A. Sloane

Extensions

More terms from Jack W Grahl, Feb 28 2021

Status

approved