cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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

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%I A260781 #13 Feb 03 2025 12:05:54
%S A260781 1,1,1,5,8,-1,27,57,-15,3,502,1292,-528,212,-38,2375,7135,-3990,2410,
%T A260781 -865,135
%N A260781 Triangle read by rows: coefficients for corrector y(x_0) for step-by-step integration.
%H A260781 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 A260781 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 A260781 Triangle begins:
%e A260781 1,
%e A260781 1,1,
%e A260781 5,8,-1,
%e A260781 27,57,-15,3,
%e A260781 502,1292,-528,212,-38,
%e A260781 2375,7135,-3990,2410,-865,135,
%e A260781 ...
%Y A260781 Row sums = A002397.
%Y A260781 Diagonals include A002401, A002402, A002403, A002405, A002406.
%Y A260781 The following sequences are taken from page 231 of Pickard (1964): A002397, A002398, A002399, A002400, A002401, A002402, A002403, A002404, A002405, A002406, A260780, A260781.
%K A260781 sign,tabl,more
%O A260781 0,4
%A A260781 _N. J. A. Sloane_, Aug 02 2015