Concrete Mathematics: A Foundation for Computer Science (2nd Edition)
by Ronald L. Graham, Donald E. Knuth, Oren Patashnik · Addison-Wesley
Canonical book for recurrence-solving technique, built from Knuth's Stanford course. Chapter 1 solves recurrent problems such as the Tower of Hanoi and the Josephus problem; Chapter 7 solves recurrences with generating functions. Includes hundreds of exercises with answers.
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Wolfram MathWorld
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