Non-Polynomial Mantissa

# npm

## @stdlib/math-base-special-negalucas

0.0.5 • Public • Published

# negaLucas

Compute the nth negaLucas number.

The negaLucas numbers are the integer sequence

The sequence is defined by the recurrence relation

which yields

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.

## Keywords

### Install

`npm i @stdlib/math-base-special-negalucas`

stdlib.io

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