

A192660


FloorSqrt transform of Lucas numbers (A000032).


1



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
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OFFSET

0,4


COMMENTS

This is the same as the floorsqrt 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(n1)+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(n1)+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



