A260781 Triangle read by rows: coefficients for corrector y(x_0) for step-by-step integration.

1, 1, 1, 5, 8, -1, 27, 57, -15, 3, 502, 1292, -528, 212, -38, 2375, 7135, -3990, 2410, -865, 135

Offset: 0

Author

N. J. A. Sloane, Aug 02 2015

Keywords

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Examples

			Triangle begins:
1,
1,1,
5,8,-1,
27,57,-15,3,
502,1292,-528,212,-38,
2375,7135,-3990,2410,-865,135,
...
		

Links

• 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] See Table III.

Crossrefs

Row sums = A002397.

Diagonals include A002401, A002402, A002403, A002405, A002406.

The following sequences are taken from page 231 of Pickard (1964): A002397, A002398, A002399, A002400, A002401, A002402, A002403, A002404, A002405, A002406, A260780, A260781.