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

    Bernoulli

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    Compute the nth Bernoulli number.

    Installation

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

    Usage

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

    bernoulli( n )

    Computes the nth Bernoulli number.

    var v = bernoulli( 0 );
    // returns 1.0
    
    v = bernoulli( 1 );
    // returns 0.0
    
    v = bernoulli( 2 );
    // returns ~0.167
    
    v = bernoulli( 3 );
    // returns 0.0
    
    v = bernoulli( 4 );
    // returns ~-0.033
    
    v = bernoulli( 5 );
    // returns 0.0
    
    v = bernoulli( 20 );
    // returns ~-529.124

    For even integers n >= 260, the function alternates between returning positive and negative infinity, as larger Bernoulli numbers cannot be safely represented in double-precision floating-point format.

    var v = bernoulli( 260 );
    // returns -Infinity
    
    v = bernoulli( 262 );
    // returns Infinity
    
    v = bernoulli( 264 );
    // returns -Infinity

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

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

    If provided NaN, the function returns NaN.

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

    Examples

    var bernoulli = require( '@stdlib/math-base-special-bernoulli' );
    
    var v;
    var i;
    
    for ( i = 0; i < 280; i++ ) {
        v = bernoulli( 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-bernoulli

    Homepage

    stdlib.io

    DownloadsWeekly Downloads

    12

    Version

    0.0.6

    License

    Apache-2.0

    Unpacked Size

    44 kB

    Total Files

    10

    Last publish

    Collaborators

    • stdlib-bot
    • kgryte
    • planeshifter
    • rreusser