Finitude of the Fibers of Complementary Bell Numbers
Statement
Subbarao and Verma asked in 1999 (Problem 5.7, first part) whether the complementary Bell numbers take any given value only finitely many times. Campbell proves they do: for every fixed integer the fiber is finite, a result whose techniques connect to Wilf's conjecture on the vanishing of .
Context
A named 1999 problem adjacent to Wilf's conjecture, with a real literature (Yang solved the first two problems of the same set in 2001).
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