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cs.SC2022
Gosper's algorithm and Bell numbers
Robert Dougherty-Bliss
Computers are good at evaluating finite sums in closed form, but there are finite sums which do not have closed forms. Summands which do not produce a closed form can often be ``fi…
math.CO2022
The Meta-C-finite Ansatz
Robert Dougherty-Bliss
The Fibonacci numbers satisfy the famous recurrence . The theory of C-finite sequences ensures that the Fibonacci numbers whose indices are divisible b…
math.NT2022
Exploring General Apéry Limits via the Zudilin-Straub t-transform
Robert Dougherty-Bliss, Doron Zeilberger
Inspired by a recent beautiful construction of Armin Straub and Wadim Zudilin, that 'tweaked' the sum of the powers of the -th row of Pascal's triangle, getting instead…