Ahaan Kallat

collaborators

3 papers

math.CO2026

Universal Shift Congruences for Weighted Permutation Sequences

Ahaan Kallat

The involution numbers $1, 1, 2, 4, 10, 26, \dots$ repeat modulo $3$ , $5$ and $7$ . We explain this, and many similar patterns, by one rule. Many sequences count permutations in which ev…

math.NT2026

A Proof of Bala's Congruence Conjectures for A158690

Ahaan Kallat

Let $a (n)$ be the sequence A158690 in the On-Line Encyclopedia of Integer Sequences (OEIS), defined by the exponential generating function $\sum_{n\ge0} a(n)t^n/n! = 1+\sum_{m\ge1}…

math.CO2026

A Proof of Bala's Congruence Conjecture for A028342

Ahaan Kallat

Let $a (n)$ be the sequence A028342 in the On-Line Encyclopedia of Integer Sequences (OEIS), defined by the exponential generating function $\sum_{n\ge0} a(n)x^n/n! = \prod_{i\ge1}(…