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A140471
Floored n-th 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, 492, 557, 630, 713, 808, 914, 1035, 1172, 1326, 1502, 1700, 1924
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
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 n-th power of the golden ratio; A000149, floored n-th power of e; A001672, floored n-th power of Pi.
Sequence in context: A342098 A283875 A099773 * A029061 A337206 A334576
KEYWORD
nonn
AUTHOR
Alonso del Arte, Jun 28 2008
EXTENSIONS
More terms from Alois P. Heinz, Mar 08 2020
STATUS
approved