`(sigma`

*m n*`)`

`(exp`

*m n*`)`

.`(log`

*m n*`)`

= the least integer such that .`(choose`

*n k*`)`

is the number of ways of selecting items from a collection of items, without repetitions, and nonnegative integers. This quantity is called a*binomial coefficient*, and is notated . It can be defined as , but the following identities are more useful computationally: , and .`(fib`

`)`

is the th Fibonacci number. The Fibonacci numbers are defined by the identities:

`(fib`

`)`

,`(fib`

`)`

, and for ,`(fib`

`)`

`(fib`

`)`

`(fib`

`)`

.

2002-01-12