%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