README.md

About stdlib...

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Fibonacci

Compute the nth Fibonacci number.

The Fibonacci numbers are the integer sequence

$$0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, \ldots$$

The sequence is defined by the recurrence relation

$$F_n = F_{n-1} + F_{n-2}$$

with seed values F_0 = 0 and F_1 = 1.

Usage

import fibonacci from 'https://cdn.jsdelivr.net/gh/stdlib-js/math-base-special-fibonacci@deno/mod.js';

fibonacci( n )

Computes the nth Fibonacci number.

var v = fibonacci( 0 );
// returns 0

v = fibonacci( 1 );
// returns 1

v = fibonacci( 2 );
// returns 1

v = fibonacci( 3 );
// returns 2

v = fibonacci( 78 );
// returns 8944394323791464

If n > 78, the function returns NaN, as larger Fibonacci numbers cannot be safely represented in double-precision floating-point format.

var v = fibonacci( 79 );
// returns NaN

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

var v = fibonacci( 3.14 );
// returns NaN

v = fibonacci( -1 );
// returns NaN

If provided NaN, the function returns NaN.

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

Examples

import fibonacci from 'https://cdn.jsdelivr.net/gh/stdlib-js/math-base-special-fibonacci@deno/mod.js';

var v;
var i;

for ( i = 0; i < 79; i++ ) {
    v = fibonacci( i );
    console.log( v );
}

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See Also

• @stdlib/math-base/special/binet: evaluate Binet's formula extended to real numbers.
• @stdlib/math-base/special/fibonacci-index: compute the Fibonacci number index.
• @stdlib/math-base/special/lucas: compute the nth Lucas number.
• @stdlib/math-base/special/negafibonacci: compute the nth negaFibonacci number.

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Notice

This package is part of stdlib, a standard library 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

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License

See LICENSE.

Copyright

Copyright © 2016-2024. The Stdlib Authors.