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.

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

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%I A260780 #20 Feb 03 2025 12:05:27
%S A260780 1,3,-1,23,-16,5,165,-177,111,-27,3802,-5548,5232,-2548,502,21385,
%T A260780 -39615,49910,-36490,14385,-2375,993605,-2235440,3527745,-3441280,
%U A260780 2035695,-672360,95435
%N A260780 Triangle read by rows: coefficients for predictor y(x_1) for step-by-step integration.
%H A260780 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 A260780 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 II.
%e A260780 Triangle begins:
%e A260780      1;
%e A260780      3,    -1;
%e A260780     23,   -16,    5;
%e A260780    165,  -177,  111,   -27;
%e A260780   3802, -5548, 5232, -2548, 502;
%e A260780   ...
%Y A260780 Row sums = A002397.
%Y A260780 Diagonals (up to signs in some cases) include A002398, A002399, A002400, A002401, A002404.
%Y A260780 The following sequences are taken from page 231 of Pickard (1964): A002397, A002398, A002399, A002400, A002401, A002402, A002403, A002404, A002405, A002406, A260780, A260781.
%K A260780 sign,tabl,more
%O A260780 0,2
%A A260780 _N. J. A. Sloane_, Aug 02 2015
%E A260780 a(15)-a(27) from _Robert Price_, Sep 09 2019