A002403 Coefficients for step-by-step integration. (Formerly M4992 N2148)

1, 15, 528, 3990, 232305, 4262895, 128928632, 1420184304, 186936865290, 2416826727315, 436683783190248, 6495589851083190, 102988034105173217, 3468347338313592735, 1050976389766688264880, 19771777981152440202960, 7439086137698489458667340, 154685313008524836907739370, 3369940174123349111629009120

Offset

2,2

Comments

These are the negated coefficients of f(x_{-2}) 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 = 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 (negated) 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: A268960 A157166 A074040 * A077206 A171197 A351183

Adjacent sequences: A002400 A002401 A002402 * A002404 A002405 A002406

Keyword

nonn

Author

N. J. A. Sloane

Extensions

More terms from Jack W Grahl, Feb 28 2021

Status

approved