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How often is n! a sum of three squares?
Book Title: The legacy of Alladi Ramakrishnan in the mathematical sciences
Editor: Krishnaswami Alladi, John R. Klauder, Calyampudi R. Rao
Abstract:
The positive integers n such that n! is a sum of three squares have a density which is equal to 7 ? 8. The key point for the proof of this result is to show that the above sequence is automatic and to study the matrix associated to the underlying automaton.
The positive integers n such that n! is a sum of three squares have a density which is equal to 7 ? 8. The key point for the proof of this result is to show that the above sequence is automatic and to study the matrix associated to the underlying automaton.
MSC: 11B85 (11B05)
Publisher: Springer Verlag
Address: New York
Year: 2010
Pages: 243--251



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