Package Exports

@stdlib/math-base-special-tribonacci

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Tribonacci

$NPM version$ $Build Status$ $Coverage Status$ $dependencies$

Compute the nth Tribonacci number.

The Tribonacci numbers are the integer sequence

$Tribonacci sequence$

The sequence is defined by the recurrence relation

$Tribonacci sequence recurrence relation$

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.

License

See LICENSE.

@stdlib/math-base-special-tribonacci