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Positive integers that can be expressed as the quotient of two binary palindromic numbers (that is, terms of A006995).
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%I #25 Jan 12 2024 07:55:55

%S 1,3,5,7,9,11,13,15,17,19,21,27,31,33,39,43,45,51,53,55,57,61,63,65,

%T 71,73,77,79,83,85,91,93,95,99,107,109,117,119,121,127,129,133,143,

%U 149,151,153,157,159,163,165,171,173,179,181,187,189,191,195,203,205

%N Positive integers that can be expressed as the quotient of two binary palindromic numbers (that is, terms of A006995).

%H Joseph Meleshko, <a href="/A305468/b305468.txt">Table of n, a(n) for n = 1..1271</a>

%H James Haoyu Bai, Joseph Meleshko, Samin Riasat, and Jeffrey Shallit, <a href="https://arxiv.org/abs/2202.13694">Quotients of Palindromic and Antipalindromic Numbers</a>, arXiv:2202.13694 [math.NT], 2022.

%H James Haoyu Bai, Joseph Meleshko, Samin Riasat, and Jeffrey Shallit, <a href="http://math.colgate.edu/~integers/w96/w96.pdf">Quotients of Palindromic and Antipalindromic Numbers</a>, INTEGERS 22 (2022), #A96.

%e 79 is in the sequence because 888987 and 11253 are both binary palindromes, and 79 = 888987/11253. These are in fact the smallest such numbers for 79.

%Y Cf. A006995, A305469, A305470.

%K nonn,base

%O 1,2

%A _Jeffrey Shallit_, Jun 02 2018