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# npm

## @stdlib/math-base-special-tribonacci 0.0.7 • Public • Published

# Tribonacci

Compute the nth Tribonacci number.

The Tribonacci numbers are the integer sequence

The sequence is defined by the recurrence relation

with seed values `F_0 = 0`, `F_1 = 0`, and `F_2 = 1`.

## Installation

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

## Usage

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

#### tribonacci( n )

Computes the nth Tribonacci number.

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

v = tribonacci( 1 );
// returns 0

v = tribonacci( 2 );
// returns 1

v = tribonacci( 3 );
// returns 1

v = tribonacci( 63 );
// returns 8607945812375585```

If `n > 63`, the function returns `NaN`, as larger Tribonacci numbers cannot be safely represented in double-precision floating-point format.

```var v = tribonacci( 64 );
// returns NaN```

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

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

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

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

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

## Examples

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

var v;
var i;

for ( i = 0; i < 64; i++ ) {
v = tribonacci( 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.

#### Community ## Keywords

### Install

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

stdlib.io

27

0.0.7