Tribonacci
Compute the nth Tribonacci number.
The Tribonacci numbers are the integer sequence
The sequence is defined by the recurrence relation
with seed values F_0 = 0
, F_1 = 0
, and F_2 = 1
.
Usage
var tribonacci = require( '@stdlib/math/base/special/tribonacci' );
tribonacci( n )
Computes the nth Tribonacci number.
var v = tribonacci( 0 );
// returns 0
v = tribonacci( 1 );
// returns 0
v = tribonacci( 2 );
// returns 1
v = tribonacci( 3 );
// returns 1
v = tribonacci( 63 );
// returns 8607945812375585
If n > 63
, the function returns NaN
, as larger Tribonacci numbers cannot be safely represented in double-precision floating-point format.
var v = tribonacci( 64 );
// returns NaN
If not provided a nonnegative integer value, the function returns NaN
.
var v = tribonacci( 3.14 );
// returns NaN
v = tribonacci( -1 );
// returns NaN
If provided NaN
, the function returns NaN
.
var v = tribonacci( NaN );
// returns NaN
Examples
var tribonacci = require( '@stdlib/math/base/special/tribonacci' );
var v;
var i;
for ( i = 0; i < 64; i++ ) {
v = tribonacci( i );
console.log( v );
}