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A002398 Coefficients for step-by-step integration.
(Formerly M3101 N1256)
12

%I M3101 N1256 #29 Oct 15 2023 00:24:30

%S 1,3,23,165,3802,21385,993605,15198435,394722916,3814933122,

%T 447827009070,5229570190845,862250830559382,11802457085079375,

%U 173406732097447849,5443765223302501095,1545512798280174555832,27361456077246355572508,9725198808628092900136884,191684785790597591594500398

%N Coefficients for step-by-step integration.

%C This is the coefficient of f(x0) 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="/A002398/b002398.txt">Table of n, a(n) for n = 0..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 Cf. A027486.

%Y Column 0 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 0,2

%A _N. J. A. Sloane_

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

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Last modified April 19 08:45 EDT 2024. Contains 371782 sequences. (Running on oeis4.)