Neatly Punctuated Musings

# npm

## @stdlib/math-base-special-fibonacci

0.0.6 • Public • Published

# Fibonacci

Compute the nth Fibonacci number.

The Fibonacci numbers are the integer sequence

The sequence is defined by the recurrence relation

with seed values `F_0 = 0` and `F_1 = 1`.

## Installation

`npm install @stdlib/math-base-special-fibonacci`

## Usage

`var fibonacci = require( '@stdlib/math-base-special-fibonacci' );`

#### fibonacci( n )

Computes the nth Fibonacci number.

```var v = fibonacci( 0 );
// returns 0

v = fibonacci( 1 );
// returns 1

v = fibonacci( 2 );
// returns 1

v = fibonacci( 3 );
// returns 2

v = fibonacci( 78 );
// returns 8944394323791464```

If `n > 78`, the function returns `NaN`, as larger Fibonacci numbers cannot be safely represented in double-precision floating-point format.

```var v = fibonacci( 79 );
// returns NaN```

If not provided a nonnegative integer value, the function returns `NaN`.

```var v = fibonacci( 3.14 );
// returns NaN

v = fibonacci( -1 );
// returns NaN```

If provided `NaN`, the function returns `NaN`.

```var v = fibonacci( NaN );
// returns NaN```

## Examples

```var fibonacci = require( '@stdlib/math-base-special-fibonacci' );

var v;
var i;

for ( i = 0; i < 79; i++ ) {
v = fibonacci( i );
console.log( v );
}```

## Notice

This package is part of stdlib, a standard library for JavaScript and Node.js, with an emphasis on numerical and scientific computing. The library provides a collection of robust, high performance libraries for mathematics, statistics, streams, utilities, and more.

For more information on the project, filing bug reports and feature requests, and guidance on how to develop stdlib, see the main project repository.

## Keywords

### Install

`npm i @stdlib/math-base-special-fibonacci`

stdlib.io

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0.0.6

Apache-2.0

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