# Logarithm of Binomial Coefficient > Compute the natural logarithm of the [binomial coefficient][binomial-coefficient].
The natural logarithm of the [binomial coefficient][binomial-coefficient] is
Natural logarithm of the binomial coefficient.
The [binomial coefficient][binomial-coefficient] of two nonnegative integers `n` and `k` is defined as
Factorial formula for the Binomial coefficient.
The [binomial coefficient][binomial-coefficient] can be generalized to negative integers `n` as follows:
Generalization of the binomial coefficient to negative n.
## Usage ```javascript var binomcoefln = require( '@stdlib/math/base/special/binomcoefln' ); ``` #### binomcoefln( n, k ) Evaluates the [binomial coefficient][binomial-coefficient] of two integers `n` and `k`. ```javascript var v = binomcoefln( 8, 2 ); // returns ~3.332 v = binomcoefln( 0, 0 ); // returns 0.0 v = binomcoefln( -4, 2 ); // returns ~2.303 v = binomcoefln( 88, 3 ); // returns ~11.606 v = binomcoefln( NaN, 3 ); // returns NaN v = binomcoefln( 5, NaN ); // returns NaN v = binomcoefln( NaN, NaN ); // returns NaN ``` For negative `k`, the function returns `-Infinity`. ```javascript var v = binomcoefln( 2, -1 ); // returns -Infinity v = binomcoefln( -3, -1 ); // returns -Infinity ``` The function returns `NaN` for non-integer `n` or `k`. ```javascript var v = binomcoefln( 2, 1.5 ); // returns NaN v = binomcoefln( 5.5, 2 ); // returns NaN ```
## Examples ```javascript var randu = require( '@stdlib/random/base/randu' ); var round = require( '@stdlib/math/base/special/round' ); var binomcoefln = require( '@stdlib/math/base/special/binomcoefln' ); var n; var k; var i; for ( i = 0; i < 100; i++ ) { n = round( (randu()*40.0) - 10.0 ); k = round( randu()*20.0 ); console.log( 'ln( %d choose %d ) = %d', n, k, binomcoefln( n, k ) ); } ```