Compute the nth Lucas number.
The Lucas numbers are the integer sequence
The sequence is defined by the recurrence relation
var lucas = require( '@stdlib/math/base/special/lucas' );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 7639424778862807If 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 NaNIf not provided a nonnegative integer value, the function returns NaN.
var v = lucas( 3.14 );
// returns NaN
v = lucas( -1 );
// returns NaNIf provided NaN, the function returns NaN.
var v = lucas( NaN );
// returns NaNvar lucas = require( '@stdlib/math/base/special/lucas' );
var v;
var i;
for ( i = 0; i < 77; i++ ) {
v = lucas( i );
console.log( v );
}#include "stdlib/math/base/special/lucas.h"Computes the nth Lucas number.
double out = stdlib_base_lucas( 0.0 );
// returns 2.0
out = stdlib_base_lucas( 1.0 );
// returns 1.0The function accepts the following arguments:
- n:
[in] doubleinput value.
double stdlib_base_lucas( const double n );#include "stdlib/math/base/special/lucas.h"
#include <stdio.h>
int main( void ) {
double i;
double v;
for ( i = 0.0; i < 77.0; i++ ) {
v = stdlib_base_lucas( i );
printf( "lucas(%lf) = %lf\n", i, v );
}
}@stdlib/math/base/special/fibonacci: compute the nth Fibonacci number.@stdlib/math/base/special/negalucas: compute the nth negaLucas number.