README
Non-Fibonacci
Compute the nth non-Fibonacci number.
The nth non-Fibonacci number is given by
where φ is the golden ratio.
Installation
npm install @stdlib/math-base-special-nonfibonacci
Usage
var nonfibonacci = require( '@stdlib/math-base-special-nonfibonacci' );
nonfibonacci( n )
Computes the nth non-Fibonacci number.
var v = nonfibonacci( 1 );
// returns 4
v = nonfibonacci( 2 );
// returns 6
v = nonfibonacci( 3 );
// returns 7
If provided either a non-integer or n < 1, the function returns NaN.
var v = nonfibonacci( -1 );
// returns NaN
v = nonfibonacci( 3.14 );
// returns NaN
If provided NaN, the function returns NaN.
var v = nonfibonacci( NaN );
// returns NaN
Examples
var nonfibonacci = require( '@stdlib/math-base-special-nonfibonacci' );
var v;
var i;
for ( i = 1; i < 100; i++ ) {
v = nonfibonacci( i );
console.log( 'nonfibonacci(%d) = %d', i, v );
}
References
- Gould, H.W. 1965. "Non-Fibonacci Numbers." Fibonacci Quarterly, no. 3: 177–83. <http://www.fq.math.ca/Scanned/3-3/gould.pdf>.
- Farhi, Bakir. 2011. "An explicit formula generating the non-Fibonacci numbers." arXiv abs/1105.1127 [Math.NT] (May): 1–5. <https://arxiv.org/abs/1105.1127>.
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 © 2016-2022. The Stdlib Authors.