4 citations · 9 across the 9 of their papers we have counts for
5 papers · 1 filter
Combinations without specified separations
Michael A. Allen
We consider the restricted subsets of with being the largest member of the set of disallowed differences between subset eleme…
On a Two-Parameter Family of Generalizations of Pascal's Triangle
Michael A. Allen
We consider a two-parameter family of triangles whose -th entry (counting the initial entry as the -th entry) is the number of tilings of -boards (which are linear…
On Some Hypergeometric Supercongruence Conjectures of Long
Michael Allen
In 2003, Rodriguez Villegas conjectured 14 supercongruences between hypergeometric functions arising as periods of certain families of rigid Calabi-Yau threefolds and the Fourier c…
On Two Families of Generalizations of Pascal's Triangle
Michael A. Allen, Kenneth Edwards
We consider two families of Pascal-like triangles that have all ones on the left side and ones separated by zeros on the right side. The cases are Pascal's triangle and…
Identities involving the tribonacci numbers squared via tiling with combs
Michael A. Allen, Kenneth Edwards
The number of ways to tile an -board (an rectangular board) with -, -, and -combs is where…