

A140471


Floored nth power of Viswanath's constant.


0



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, 36, 41, 46, 52, 59, 67, 76, 86, 98, 111, 125, 142, 161, 182, 206, 233, 264, 299, 339, 384, 434
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OFFSET

0,7


COMMENTS

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).


LINKS

Table of n, a(n) for n=0..49.
Eric Weisstein, Random Fibonacci sequence at MathWorld


FORMULA

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


EXAMPLE

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


MATHEMATICA

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


CROSSREFS

Cf. A014217, floored nth power of the golden ratio; A000149, floored nth power of e; A001672, floored nth power of pi.
Sequence in context: A025770 A283875 A099773 * A029061 A081607 A029060
Adjacent sequences: A140468 A140469 A140470 * A140472 A140473 A140474


KEYWORD

nonn


AUTHOR

Alonso del Arte, Jun 28 2008


STATUS

approved



