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Triangle read by rows: coefficients for step-by-step integration.
12

%I #11 Oct 03 2021 22:25:22

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

%T -865,135

%N Triangle read by rows: coefficients for step-by-step integration.

%H W. F. Pickard, <a href="https://doi.org/10.1145/321217.321226">Tables for the step-by-step integration of ordinary differential equations of the first order</a>, J. ACM 11 (1964), 229-233.

%H W. F. Pickard, <a href="/A002397/a002397.pdf">Tables for the step-by-step integration of ordinary differential equations of the first order</a>, J. ACM 11 (1964), 229-233. [Annotated scanned copy] See Table III.

%e Triangle begins:

%e 1,

%e 1,1,

%e 5,8,-1,

%e 27,57,-15,3,

%e 502,1292,-528,212,-38,

%e 2375,7135,-3990,2410,-865,135,

%e ...

%Y Row sums = A002397.

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

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

%K sign,tabl,more

%O 0,4

%A _N. J. A. Sloane_, Aug 02 2015