login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Coefficients for step-by-step integration.
(Formerly M5015 N2160)
12

%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