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.
%I A367329 #22 Feb 18 2024 12:26:51
%S A367329 1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,5,5,5,5,6,6,6,6,7,7,7,8,8,8,8,9,9,9,
%T A367329 9,10,10,10,11,11,11,11,12,12,12,12,13,13,13,13,14,14,14,15,15,15,15,
%U A367329 16,16,16,16,17,17,17,17,18,18,18,19,19,19,19,20,20
%N A367329 The y-coordinate of the point where x + y = n, x & y are integers and x/y is as close as possible to e.
%C A367329 a(n) is nondecreasing; lim_{n->oo} a(n) = oo.
%C A367329 Swapping the x and y coordinate of the sequence does not yield the sequence defined as the point where x + y = n, x and y are integers and x/y is as close as possible to 1/e even when excluding terms that would lead to a division by 0.
%e A367329 For n = 3, the possible points are (0,3), (1,2), (2,1), as any negative fraction would would be further from e than 0/3. The closest fraction to e out of these is 2/1 so a(3) = 1.
%Y A367329 Cf. A001113 (e), A367328 (x-coordinate), A007677.
%K A367329 easy,frac,nonn
%O A367329 1,5
%A A367329 _Colin Linzer_, Nov 14 2023