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Floored n-th power of Viswanath's constant.
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%I #7 Mar 08 2020 22:30:12

%S 1,1,1,1,1,1,2,2,2,3,3,3,4,5,5,6,7,8,9,10,11,13,15,17,19,22,25,28,32,

%T 36,41,46,52,59,67,76,86,98,111,125,142,161,182,206,233,264,299,339,

%U 384,434,492,557,630,713,808,914,1035,1172,1326,1502,1700,1924

%N Floored n-th power of Viswanath's constant.

%C For sufficiently large terms of a random Fibonacci sequence, the powers of Viswanath's constant approximate the absolute value of the terms in such a sequence (with a few notable exceptions).

%H Eric Weisstein, <a href="http://mathworld.wolfram.com/RandomFibonacciSequence.html">Random Fibonacci sequence</a> at MathWorld

%F a(n) = floor(v^n), where v = 1.1319882487943 as given by A078416.

%e a(7) = 2 because V^7 is approximately 2.381734947432 and floored that is 2.

%t V = 1.1319882487943; Table[Floor[V^n], {n, 0, 49}]

%Y Cf. A014217, floored n-th power of the golden ratio; A000149, floored n-th power of e; A001672, floored n-th power of Pi.

%K nonn

%O 0,7

%A _Alonso del Arte_, Jun 28 2008

%E More terms from _Alois P. Heinz_, Mar 08 2020