A140471 Floored n-th power of Viswanath's constant.

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

Author

Alonso del Arte, Jun 28 2008

Keywords

• nonn

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).

Examples

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

Links

• Eric Weisstein, Random Fibonacci sequence at MathWorld

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.

Programs

Mathematica

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

Formula

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

Extensions

More terms from Alois P. Heinz, Mar 08 2020