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A305470 Smallest binary palindrome whose product with A305468(n) gives a binary palindrome.

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%I A305470 #17 Jan 12 2024 07:56:03
%S A305470 1,1,1,1,1,3,5,1,1,27,1,1,1,1,5,3,1,1,63,3,9,7,1,1,765,1,3,11253,45,1,
%T A305470 3,1,27,1,1,21,5,1,93,1,1,27,15,39513,7,1,3,21,45,1,3,33,63,93,3,1,
%U A305470 153,1,7,5,3,255,3,1,5,13299,15,1,255,3,17,15,1,1,51
%N A305470 Smallest binary palindrome whose product with A305468(n) gives a binary palindrome.
%H A305470 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 A305470 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 A305470 For n = 10 the corresponding term A305468(10) equals 19, and both a(10) = 27 and 27*19 = 513 are binary palindromes.
%Y A305470 Cf. A006995, A305468.
%K A305470 nonn,base
%O A305470 1,6
%A A305470 _Jeffrey Shallit_, Jun 02 2018