Fibonacci Calculator

Fibonacci and Lucas Number Calculator 1.2 For help, see lower down.

Series?

Value or Range for i?

Action buttons

Fibonacci(i)
Lucas(i)

Approximate(faster)
Exact(slower)

From i=
To i=

Rabbit(i)

Eval:

The calculator is <<< ready for you <<< computing - please wait...

HOW TO USE THIS CALCULATOR

[Links followed will open in a new window.]

Select a series:
Fibonacci(i), Lucas(i), Rabbit(i).
The Eval box lets you input an expression which uses i. Details below.
Type in a whole number value for i, which can be negative except for Rabbit(i), in the From i= box.
If you want to find all the values in a certain range, type a value in the To i= box also.
Select an action:
Show series
outputs the numbers in the selected series for i in the chosen range.
Initial digits
Benford's Law relates to the distribution of the initial digits of Fibonacci and Lucas numbers. (Precision buttons are ignored.)
Amaze me!
produces a correct, random expression equal to 1 and involving two nth-roots, as mentioned on The Lucas numbers page.
Clear all
clears all values and the output area.

BROWSER:

This calculator requires JavaScript (not the same as Java!) and Internet Explorer 4 or Netscape Navigator 4 or Communicator 4 or later versions.

Netscape Navigator:
Make sure JavaScript is enabled in Navigator version 4 or later:
In Edit Menu - Preferences - Advanced, make sure the box marked 'JavaScript' is checked.
Microsoft Internet Explorer 4+
Make sure Scripting is enabled in version 4 or later:
In Edit Menu - Preferences - Web Content, make sure 'Enable Scripting' is checked in the "Active Content" section.

Eval

The Eval box lets you type in a mathematical expression involving i. It is evaluated in the i range that you give and values printed in the Output area.
NaN means the output is Not a Number (there is an error in your expression, or you've given an impossible value to a function, such as sqrt(-1).
Infinity - the Calculator has generated a value that is too large for it.

Constants

E , PI, Phi, phi

Operations + - * /

% ( x%y is the integer remainder when integer x is divided by integer y)
< > <= >= equal to is == and not equal to is !=
NB There is no "to-the-power-of" operator - see pow function below.

Functions

abs(x)	the absolute value of x (always positive)
acos(x)	the angle (in radians) whose cosine is x
asin(x)	the angle (in radians) whose sine is x
atan(x)	the angle (in radians) whose tangent is x
ceil(x)	round up to the next integer (if not already an integer)
cos(x)	the cosine of angle x (x in radians)
exp(x)	E to the power of x; same as pow(E,x)
Fib(i)	Fibonacci(i)
floor(x)	x, if x is an integer, otherwise the next integer less than x
log(x)	the natural log of x (log to the base E)
log10(x)	the common log of x (log to base 10)
Luc(i)	Lucas(i)
pow(x,p)	x^{^p}
Rab(i)	Rabbit(i)
randint(LO,HI)	a random integer between LO and HI (inclusive)
random()	a random number between 0.0 and 1.0
round(x)	the nearest integer to x
sin(x)	the sine of angle x (x in radians)
sqrt(x)	the square root of x
tan(x)	the tangent of angle x (x in radians)

Conditional Expressions

( C ? T : E ) C is an expression with a true or false result;
T is the value returned if C evaluates to true;
E is the value returned if C evaluates to false