@stdlib/math-base-special-lucas
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    0.0.6 • Public • Published

    Lucas

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    Compute the nth Lucas number.

    The Lucas numbers are the integer sequence

    Lucas sequence

    The sequence is defined by the recurrence relation

    Lucas sequence recurrence relation

    Installation

    npm install @stdlib/math-base-special-lucas

    Usage

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

    lucas( n )

    Computes the nth Lucas number.

    var v = lucas( 0 );
    // returns 2
    
    v = lucas( 1 );
    // returns 1
    
    v = lucas( 2 );
    // returns 3
    
    v = lucas( 3 );
    // returns 4
    
    v = lucas( 76 );
    // returns 7639424778862807

    If n > 76, the function returns NaN, as larger Lucas numbers cannot be safely represented in double-precision floating-point format.

    var v = lucas( 77 );
    // returns NaN

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

    var v = lucas( 3.14 );
    // returns NaN
    
    v = lucas( -1 );
    // returns NaN

    If provided NaN, the function returns NaN.

    var v = lucas( NaN );
    // returns NaN

    Examples

    var lucas = require( '@stdlib/math-base-special-lucas' );
    
    var v;
    var i;
    
    for ( i = 0; i < 77; i++ ) {
        v = lucas( 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.

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    License

    See LICENSE.

    Copyright

    Copyright © 2016-2021. The Stdlib Authors.

    Install

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

    Homepage

    stdlib.io

    DownloadsWeekly Downloads

    15

    Version

    0.0.6

    License

    Apache-2.0

    Unpacked Size

    55.9 kB

    Total Files

    12

    Last publish

    Collaborators

    • stdlib-bot
    • kgryte
    • planeshifter
    • rreusser