A002400 Coefficients for step-by-step integration. (Formerly M4025 N1670)

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

Offset

2,1

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.

Sequence in context: A219161 A367248 A284461 * A268404 A258795 A263531

Adjacent sequences: A002397 A002398 A002399 * A002401 A002402 A002403

Keyword

nonn

Author

N. J. A. Sloane

Extensions

More terms from Jack W Grahl, Feb 28 2021

Status

approved