Nathan Fox

activity

20152024

most citedAn Aperiodic Subtraction Game of Nim-dimension Two

1 citations · 1 across the 4 of their papers we have counts for

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math.NT2024

Elated Numbers

N. Bradley Fox, Nathan H. Fox, Helen G. Grundman +3

For a base $b \geq 2$ , the $b$ -elated function, $E_{2, b}$ , maps a positive integer written in base $b$ to the product of its leading digit and the sum of the squares of its digits.…

math.NT2018

A New Approach to the Hofstadter $Q$ -Recurrence

Nathan Fox

Nested recurrence relations are highly sensitive to their initial conditions. The best-known nested recurrence, the Hofstadter $Q$ -recurrence, generates sequences displaying a wide…

Elated Numbers

A New Approach to the Hofstadter Q-Recurrence

A New Approach to the Hofstadter $Q$ -Recurrence