cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A002401 Coefficients for step-by-step integration.

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%I A002401 M3947 N1626 #31 Jan 05 2022 00:10:31
%S A002401 1,1,5,27,502,2375,95435,1287965,29960476,262426878,28184365650,
%T A002401 303473091075,46437880787562,593196287807409,8172332906336599,
%U A002401 241563260379065625,64808657541894257992,1087738506483388123364,367580830209839294339148,6906008426663826491899602,136666305828261517346022452
%N A002401 Coefficients for step-by-step integration.
%C A002401 These are the coefficients of the n-th forward difference of f in the estimate for y(x1) - y(x0), also the coefficients of f(x0) in the estimate for y(x0) - y(x1).
%D A002401 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
%D A002401 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
%H A002401 Jack W Grahl, <a href="/A002401/b002401.txt">Table of n, a(n) for n = 0..100</a>
%H A002401 Jack W Grahl, <a href="/A002405/a002405.pdf">Explanation of how this sequence is calculated</a>
%H A002401 Jack W Grahl, <a href="/A002405/a002405.py.txt">Python code to calculate this and related sequences</a>
%H A002401 W. F. Pickard, <a href="http://dx.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 A002401 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]
%F A002401 a(n) = lcm{1,2,...,n+1} * Sum_{k=0..n}(1/n+1-k)*s(-(n-1),k,n) where s(l,m,n) are the generalized Stirling numbers of the first kind. - _Sean A. Irvine_, Nov 10 2013
%Y A002401 Column 0 of A260781.
%Y A002401 The following sequences are taken from page 231 of Pickard (1964): A002397, A002398, A002399, A002400, A002401, A002402, A002403, A002404, A002405, A002406, A260780, A260781.
%K A002401 nonn
%O A002401 0,3
%A A002401 _N. J. A. Sloane_
%E A002401 More terms from _Sean A. Irvine_, Nov 10 2013
%E A002401 More terms from _Jack W Grahl_, Feb 28 2021