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Example 4

A problem that recently arose on sci.math was the (well-known) problem of finding when triangular numbers are square numbers; the first few quickly lead to the sequence tex2html_wrap_inline150 , as can be determined with a few minutes computation. This is sequence M4536 in the book, and references are provided to Dickson's History, to Beiler and other recreational mathematics books. In some sense this is what the book is for: to give people an index into what is `well-known' and perhaps to avoid ingenious but ultimately wasted rediscovery.