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”).
%I #22 Feb 18 2024 12:26:51
%S 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 9,10,10,10,11,11,11,11,12,12,12,12,13,13,13,13,14,14,14,15,15,15,15,
%U 16,16,16,16,17,17,17,17,18,18,18,19,19,19,19,20,20
%N 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 a(n) is nondecreasing; lim_{n->oo} a(n) = oo.
%C 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 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 Cf. A001113 (e), A367328 (x-coordinate), A007677.
%K easy,frac,nonn
%O 1,5
%A _Colin Linzer_, Nov 14 2023