A002398 -id:A002398 - cp's OEIS frontend

A260780 Triangle read by rows: coefficients for predictor y(x_1) for step-by-step integration.

1, 3, -1, 23, -16, 5, 165, -177, 111, -27, 3802, -5548, 5232, -2548, 502, 21385, -39615, 49910, -36490, 14385, -2375, 993605, -2235440, 3527745, -3441280, 2035695, -672360, 95435

Offset: 0

N. J. A. Sloane, Aug 02 2015

			Triangle begins:
     1;
     3,    -1;
    23,   -16,    5;
   165,  -177,  111,   -27;
  3802, -5548, 5232, -2548, 502;
  ...

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 II.

Row sums = A002397.
Diagonals (up to signs in some cases) include A002398, A002399, A002400, A002401, A002404.
The following sequences are taken from page 231 of Pickard (1964): A002397, A002398, A002399, A002400, A002401, A002402, A002403, A002404, A002405, A002406, A260780, A260781.

a(15)-a(27) from Robert Price, Sep 09 2019

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

Original entry on oeis.org

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

Offset: 0

N. J. A. Sloane, Aug 02 2015

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

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.

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.

cp's OEIS Frontend

A260780 Triangle read by rows: coefficients for predictor y(x_1) for step-by-step integration.

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