Linear Recurrences of Order at Most Two in Small Divisors
A. Anas Chentouf
Department of Mathematics
Massachusetts Institute of Technology
Cambridge, MA 02139
USA
Abstract:
Given a positive integer n, the small divisors of n are
defined as the positive divisors that do not exceed √n. Iannucci
previously classified all n for which the small divisors of
n form an arithmetic progression. In this paper, we classify
all n for which the small divisors of n form a linear
recurrence of order at most two.
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(Concerned with sequence
A346447.)
Received August 17 2021; revised versions received August 18 2021;
October 31 2021; December 31 2021. Published in Journal of Integer
Sequences, January 2 2022.
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