time-to-botec/squiggle/node_modules/@stdlib/math/base/special/lucas

Lucas

Compute the nth Lucas number.

The Lucas numbers are the integer sequence

The sequence is defined by the recurrence relation

Usage

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

lucas( n )

Computes the nth Lucas number.

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

v = lucas( 1 );
// returns 1

v = lucas( 2 );
// returns 3

v = lucas( 3 );
// returns 4

v = lucas( 76 );
// returns 7639424778862807

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

var v = lucas( 77 );
// returns NaN

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

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

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

If provided NaN, the function returns NaN.

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

Examples

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

var v;
var i;

for ( i = 0; i < 77; i++ ) {
    v = lucas( i );
    console.log( v );
}