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

    Tribonacci

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    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 );
    }

    See Also


    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.

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    License

    See LICENSE.

    Copyright

    Copyright © 2016-2022. The Stdlib Authors.

    Install

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

    Homepage

    stdlib.io

    DownloadsWeekly Downloads

    27

    Version

    0.0.7

    License

    Apache-2.0

    Unpacked Size

    54.4 kB

    Total Files

    12

    Last publish

    Collaborators

    • stdlib-bot
    • kgryte
    • planeshifter
    • rreusser