Wilf′s Conjecture

Abstract

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Refinements of the Bell and Stirling numbers

“…In fact, work has already been done on the dissection of B n , depending on whether it splits n into an even or odd number of blocks -the so called 'complementary Bell numbers'. This is the subject of Wilf 's Conjecture, which asks whether the two values are ever equal [5]. However, our methods are more suited towards dissecting B n into whether is splits n into blocks of even or odd size.…”