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 A293418 #13 Sep 08 2022 08:46:19
%S A293418 0,1,1,2,4,7,11,18,29,48,77,125,203,329,533,862,1395,2258,3654,5912,
%T A293418 9567,15479,25047,40527,65574,106101,171675,277776,449452,727229,
%U A293418 1176682,1903911,3080594,4984506,8065100,13049606,21114706,34164312,55279018,89443331
%N A293418 a(n) is the greatest integer k such that k/Fibonacci(n) < sqrt(2).
%H A293418 Clark Kimberling, <a href="/A293418/b293418.txt">Table of n, a(n) for n = 0..1000</a>
%F A293418 a(n) = floor(Fibonacci(n)*sqrt(2)).
%F A293418 a(n) = A293419(n) - 1 for n > 0.
%t A293418 z = 120; r = Sqrt[2]; f[n_] := Fibonacci[n];
%t A293418 Table[Floor[r*f[n]], {n, 0, z}]; (* A293418 *)
%t A293418 Table[Ceiling[r*f[n]], {n, 0, z}]; (* A293419 *)
%t A293418 Table[Round[r*f[n]], {n, 0, z}]; (* A293420 *)
%o A293418 (PARI) for(n=0,30, print1(floor(fibonacci(n)*sqrt(2)), ", ")) \\ _G. C. Greubel_, Feb 08 2018
%o A293418 (Magma) [Floor(Fibonacci(n)*Sqrt(2)): n in [0..30]]; // _G. C. Greubel_, Feb 08 2018
%Y A293418 Cf. A000045, A293419, A293420.
%K A293418 nonn,easy
%O A293418 0,4
%A A293418 _Clark Kimberling_, Oct 12 2017