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 A140443 #5 Feb 16 2025 08:33:08
%S A140443 0,0,1,2,4,6,11,19,31,52,86,140,228,372,604,980,1589,2575,4171,6754,
%T A140443 10933,17696,28640,46349,75003,121368,196390,317779,514193,831999,
%U A140443 1346223,2178257,3524519,5702820,9227389,14930266,24157719,39088058
%N A140443 Difference between n-th Fibonacci number and floored n-th power of Viswanath's constant.
%C A140443 Using the value of Viswanath's constant given by Eric Weisstein's notebook (v = 1.1321506910656020459) makes this sequence different from a(32) forwards; the gap gradually widens after that.
%H A140443 Eric Weisstein, <a href="https://mathworld.wolfram.com/RandomFibonacciSequence.html">Random Fibonacci sequence</a> at MathWorld
%F A140443 a(n) = F(n) - floor(v^n), where F(n) is given by A000045 with F(1) = F(2) = 1 and v = 1.1319882487943 as given by A078416.
%e A140443 a(7) = 11 because F(7) = 13 and v^7 is approximately 2.38173, which floored is 2, so 13 - 2 = 11.
%t A140443 V = 1.1319882487943; Table[Fibonacci[n] - Floor[V^n], {n, 50}]
%Y A140443 Cf. the Fibonacci numbers A000045, decimal expansion of Viswanath's constant A078416.
%K A140443 nonn
%O A140443 1,4
%A A140443 _Alonso del Arte_, Jun 25 2008