README

negaLucas

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

Compute the nth negaLucas number.

The negaLucas numbers are the integer sequence

$NegaLucas sequence$

The sequence is defined by the recurrence relation

$NegaLucas sequence recurrence relation$

which yields

$NegaLucas relationship to Lucas numbers$

with seed values L_0 = 2 and L_{-1} = -1.

Installation

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

Usage

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

negalucas( n )

Computes the nth negaLucas number.

var v = negalucas( 0 );
// returns 2

v = negalucas( -1 );
// returns -1

v = negalucas( -2 );
// returns 3

v = negalucas( -3 );
// returns -4

v = negalucas( -76 );
// returns 7639424778862807

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

var v = negalucas( -77 );
// returns NaN

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

var v = negalucas( -3.14 );
// returns NaN

v = negalucas( 1 );
// returns NaN

If provided NaN, the function returns NaN.

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

Examples

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

var v;
var i;

for ( i = 0; i > -77; i-- ) {
    v = negalucas( 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

License

See LICENSE.

@stdlib/math-base-special-negalucas

Usage no npm install needed!