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Coefficients for step-by-step integration.
(Formerly M4992 N2148)
12

%I M4992 N2148 #24 Oct 16 2023 23:21:30

%S 1,15,528,3990,232305,4262895,128928632,1420184304,186936865290,

%T 2416826727315,436683783190248,6495589851083190,102988034105173217,

%U 3468347338313592735,1050976389766688264880,19771777981152440202960,7439086137698489458667340,154685313008524836907739370,3369940174123349111629009120

%N Coefficients for step-by-step integration.

%C These are the negated coefficients of f(x_{-2}) in the estimate for y(x0) - y(x1).

%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="/A002403/b002403.txt">Table of n, a(n) for n = 2..100</a>

%H Jack W Grahl, <a href="/A002405/a002405.pdf">Explanation of how this sequence is 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 2 (negated) of A260781.

%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 2,2

%A _N. J. A. Sloane_

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