|
| |
|
|
A061287
|
|
Integer part of square root of n-th Fibonacci number.
|
|
1
| |
|
|
0, 1, 1, 1, 1, 2, 2, 3, 4, 5, 7, 9, 12, 15, 19, 24, 31, 39, 50, 64, 82, 104, 133, 169, 215, 273, 348, 443, 563, 717, 912, 1160, 1475, 1877, 2388, 3037, 3863, 4915, 6252, 7952, 10116, 12867, 16368, 20820, 26484, 33688, 42852, 54508, 69336, 88197, 112188
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,6
|
|
|
LINKS
| Harry J. Smith, Table of n, a(n) for n=0,...,500
|
|
|
EXAMPLE
| a(10) =7, The 10-th Fibonacci number is 55 and floor [sqrt(55)] = floor [7.4161]=7.
|
|
|
MATHEMATICA
| Array[Floor[Sqrt[Fibonacci[ # ]]]&, 5!, 0] [From Vladimir Orlovsky, Nov 10 2009]
|
|
|
PROG
| (PARI) { g=0; f=1; for (n=0, 500, write("b061287.txt", n, " ", sqrtint(g)); s=f; f+=g; g=s ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jul 20 2009]
(Sage) [floor(sqrt(fibonacci(n))) for n in xrange(0, 51)]# [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Dec 01 2009]
(Maxima) makelist(floor(sqrt(fib(n))), n, 0, 24); [Emanuele Munarini, 7 Jul 2011]
|
|
|
CROSSREFS
| Sequence in context: A002569 A129528 A052336 * A064651 A094991 A117298
Adjacent sequences: A061284 A061285 A061286 * A061288 A061289 A061290
|
|
|
KEYWORD
| nonn,easy
|
|
|
AUTHOR
| Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Apr 25 2001
|
|
|
EXTENSIONS
| More terms from Larry Reeves (larryr(AT)acm.org), May 07 2001
|
| |
|
|
