A002399 - OEIS

%I M5015 N2160 #23 Oct 15 2023 00:25:06

%S 1,16,177,5548,39615,2236440,40325915,1207505768,13229393814,

%T 1737076976040,22446050738265,4058838484620084,60476452041557409,

%U 961082989270516112,32455938583801467735,9864953815464307351792,186195769473110823077652,70295408103581008790661648,1466826914074651870368663750

%N Coefficients for step-by-step integration.

%C These are the negated coefficients of f(x_{-1}) in the estimate for y(x1) - y(x0).

%D N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

%H Jack W Grahl, <a href="/A002399/b002399.txt">Table of n, a(n) for n = 1..100</a>

%H Jack W Grahl, <a href="/A002405/a002405.pdf">Explanation of how the sequence was calculated</a>.

%H Jack W Grahl, <a href="/A002405/a002405.py.txt">Python code to calculate this and related sequences</a>.

%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]

%Y Column 1 (negated) of A260780.

%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 nonn

%O 1,2

%A _N. J. A. Sloane_

%E More terms from _Jack W Grahl_, Feb 28 2021