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 A092328 #35 Sep 26 2021 18:55:59
%S A092328 0,22,44,355,710,1065,1420,1775,2130,2485,2840,3195,312689,1146408,
%T A092328 5419351,10838702
%N A092328 Solutions of x^2 = ceiling(x*r*floor(x/r)) where r=Pi.
%C A092328 Does limit n->infinity log(a(n))/n exist?
%C A092328 Notice that the entries above are either numerators of convergents to Pi (A002485) or multiples thereof. - _Robert G. Wilson v_, Feb 26 2004
%C A092328 a(23) <= 430010946591069243. - _Robert G. Wilson v_, Jul 19 2019
%C A092328 From _M. F. Hasler_, Sep 10 2020: (Start)
%C A092328 Appears to be the same as: n >= 0 such that n*tan(n) < 1, cf. A332095. Is there a counterexample?
%C A092328 Most terms are multiples of a smaller term: 44 = 22*2 and a(4..12) = {355, 710, 1065, 1420, 1775, 2130, 2485, 2840, 3195} = 355*{1, 2, 3, ..., 9}. See A332095 for more. (End)
%t A092328 Do[ If[ n^2 == Ceiling[n*3.1415926535897932346264*Floor[n/3.1415926535897932346264]], Print[n]], {n, 0, 10^8}] (* _Robert G. Wilson v_, Feb 26 2004 *)
%o A092328 (PARI) for(x=0,2000000,if(x^2==ceil(Pi*x*floor(x/Pi)),print1(x,",")))
%Y A092328 Cf. A249836, A088306, A332095.
%K A092328 nonn,more
%O A092328 1,2
%A A092328 _Benoit Cloitre_, Feb 14 2004
%E A092328 More terms from _Robert G. Wilson v_, Feb 26 2004