A002402 Coefficients for step-by-step integration. (Formerly M4547 N1931)

1, 8, 57, 1292, 7135, 325560, 4894715, 125078632, 1190664342, 137798986920, 1587893097945, 258558380321076, 3497709055775649, 50821738502398864, 1578753057237451095, 443765620067972169968, 7782162960545369351956, 2741163034641146307693072, 53564617257321061756508358, 1100369599246721484969558920

Offset

1,2

Comments

These are the coefficients of f(x_{-1}) 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 = 1..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 1 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.

Sequence in context: A241595 A208596 A324205 * A015464 A144781 A026948

Adjacent sequences: A002399 A002400 A002401 * A002403 A002404 A002405

Keyword

nonn

Author

N. J. A. Sloane

Extensions

More terms by Jack W Grahl, Feb 28 2021

Status

approved