A192660 Floor-Sqrt transform of Lucas numbers (A000032).

1, 1, 1, 2, 2, 3, 4, 5, 6, 8, 11, 14, 17, 22, 29, 36, 46, 59, 76, 96, 122, 156, 199, 253, 321, 409, 521, 662, 842, 1072, 1364, 1735, 2206, 2807, 3571, 4542, 5777, 7349, 9349, 11892, 15126, 19241, 24476, 31133, 39602, 50375, 64079, 81509, 103681, 131885

Offset

0,4

Comments

This is the same as the floor-sqrt transform of phi^n, where phi = (1+sqrt(5))/2.

Links

T. D. Noe, Table of n, a(n) for n = 0..1000

Formula

a(n) = floor(sqrt(Lucas(n))).

Mathematica

Table[Floor[Sqrt[LucasL[n]]], {n, 0, 100}]

Prog

(Maxima) makelist(floor(sqrt(fib(n-1)+fib(n+1))), n, 0, 24);
(Magma) [Floor(Sqrt(Lucas(n))): n in [0..50]]; // Vincenzo Librandi, Sep 30 2017
(PARI) a(n) = sqrtint(fibonacci(n-1)+fibonacci(n+1)); \\ Michel Marcus, Sep 30 2017

Crossrefs

Sequence in context: A241377 A266750 A143065 * A173692 A316079 A091585

Adjacent sequences: A192657 A192658 A192659 * A192661 A192662 A192663

Keyword

nonn

Author

Emanuele Munarini, Jul 07 2011

Status

approved