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

0,2

Links

Table of n, a(n) for n=0..27.

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.

Example

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

Crossrefs

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.

Sequence in context: A306619 A335644 A027477 * A243769 A137330 A270277

Adjacent sequences: A260777 A260778 A260779 * A260781 A260782 A260783

Keyword

sign,tabl,more,changed

Author

N. J. A. Sloane, Aug 02 2015

Extensions

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

Status

approved