%I #4 Oct 12 2012 14:38:24
%S 0,0,1,2,4,6,11,19,31,52,86,140,228,372,604,980,1589,2575,4171,6754,
%T 10933,17696,28640,46349,75003,121368,196390,317779,514193,831999,
%U 1346223,2178257,3524519,5702820,9227389,14930266,24157719,39088058
%N Difference between nth Fibonacci number and floored nth power of Viswanath's constant.
%C 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 Eric Weisstein, <a href="http://mathworld.wolfram.com/RandomFibonacciSequence.html">Random Fibonacci sequence</a> at MathWorld
%F 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 a(7) = 11 because F(7) = 13 and v^7 is approximately 2.38173, which floored is 2, so 13  2 = 11.
%t V = 1.1319882487943; Table[Fibonacci[n]  Floor[V^n], {n, 50}]
%Y Cf. the Fibonacci numbers A000045, decimal expansion of Viswanath's constant A078416.
%K nonn
%O 1,4
%A _Alonso del Arte_, Jun 25 2008
