## Usage ```javascript var bernoulli = require( '@stdlib/math/base/special/bernoulli' ); ``` #### bernoulli( n ) Computes the nth [Bernoulli number][bernoulli-number]. ```javascript var v = bernoulli( 0 ); // returns 1.0 v = bernoulli( 1 ); // returns 0.0 v = bernoulli( 2 ); // returns ~0.167 v = bernoulli( 3 ); // returns 0.0 v = bernoulli( 4 ); // returns ~-0.033 v = bernoulli( 5 ); // returns 0.0 v = bernoulli( 20 ); // returns ~-529.124 ``` For even integers `n >= 260`, the function alternates between returning positive and negative infinity, as larger [Bernoulli numbers][bernoulli-number] cannot be safely represented in [double-precision floating-point format][ieee754]. ```javascript var v = bernoulli( 260 ); // returns -Infinity v = bernoulli( 262 ); // returns Infinity v = bernoulli( 264 ); // returns -Infinity ``` If not provided a nonnegative integer value, the function returns `NaN`. ```javascript var v = bernoulli( 3.14 ); // returns NaN v = bernoulli( -1 ); // returns NaN ``` If provided `NaN`, the function returns `NaN`. ```javascript var v = bernoulli( NaN ); // returns NaN ```

## Examples ```javascript var bernoulli = require( '@stdlib/math/base/special/bernoulli' ); var v; var i; for ( i = 0; i < 280; i++ ) { v = bernoulli( i ); console.log( v ); } ```

[bernoulli-number]: https://en.wikipedia.org/wiki/Bernoulli_number [ieee754]: https://en.wikipedia.org/wiki/IEEE_754-1985