## Concrete mathematics: a foundation for computer science |

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algorithm answer approximation asymptotic Bernoulli numbers binary binomial coefficients binomial theorem calculate Chapter closed form coefficient of zn compute Concrete Mathematics constant converges convolution defined denominator derivation dice distribution divide divisor dominoes equal equation Euler's summation formula evaluate exam example exercise factor Fibonacci numbers Find a closed finite follows fraction function gives harmonic numbers hence Hint hypergeometric series identity induction infinite sum integer Leonhard Euler look mean and variance method modulo multiple negative Newton series nonnegative integer notation parameters Pascal's triangle pattern permutation polynomial positive integers power series prime probability probability space problem proof prove random variable rational real numbers recurrence replace sequence solution solve Stern-Brocot Stern-Brocot tree Stirling numbers Stirling's Stirling's approximation subsets Table there's Tower of Hanoi upper index write zero