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math.CO2024
Asymptotic expansions for the reciprocal Hardy-Littlewood logarithmic integrals
Glenn Bruda
Defining a family of recurrences, we generalize Comtet's formula for the generating function of the enumeration of indecomposable permutations. Consequently, we generalize Panaitop…
math.CO2024
A closed formula for linear recurrences with constant coefficients
Glenn Bruda, Bruce Fang, Pico Gilman +6
Given a linear recurrence of the form , it is well-known that , where the sum is taken over the set of characteristic root…
math.CO2024
Variants of Conway Checkers and k-nacci Jumping
Glenn Bruda, Joseph Cooper, Kareem Jaber +2
Conway Checkers is a game played with a checker placed in each square of the lower half of an infinite checkerboard. Pieces move by jumping over an adjacent checker, removing the c…