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A002404 Coefficients for step-by-step integration.

%I A002404 M3022 N1224 #23 Oct 16 2023 23:22:13
%S A002404 3,-16,111,-2548,14385,-672360,10351845,-270594968,2631486186,
%T A002404 -310710613080,3648232023975,-604596371658444,8315244191734623,
%U A002404 -122717408718016112,3868618892876082345,-1102643727493413977872,19593301788429800483052,-6988461512994426036295152,138198195880599649938536250
%N A002404 Coefficients for step-by-step integration.
%C A002404 These are the coefficients of f(x_{-n}) in the estimate for y(x1) - y(x0) which has n + 1 terms.
%D A002404 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
%D A002404 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
%H A002404 Jack W Grahl, <a href="/A002404/b002404.txt">Table of n, a(n) for n = 0..100</a>
%H A002404 Jack W Grahl, <a href="/A002405/a002405.pdf">Explanation of how this sequence is calculated</a>.
%H A002404 Jack W Grahl, <a href="/A002405/a002405.py.txt">Python code to calculate this and related sequences</a>.
%H A002404 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 A002404 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]
%Y A002404 If every other term is negated, this is a diagonal of A260780.
%Y A002404 The following sequences are taken from page 231 of Pickard (1964): A002397, A002398, A002399, A002400, A002401, A002402, A002403, A002404, A002405, A002406, A260780, A260781.
%K A002404 sign
%O A002404 0,1
%A A002404 _N. J. A. Sloane_
%E A002404 More terms from _Jack W Grahl_, Feb 28 2021