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Natural numbers k such that there are infinitely many representations k = A/B with A, B in A035928.
1

%I #21 Jan 12 2024 07:56:10

%S 1,6,15,18,19,20,24,28,51,59,61,63,66,67,68,71,72,74,75,78,82,83,84,

%T 87,94,96,120,191,195,203,211,231,235,243,247,251,253,255,258,260,262,

%U 263,264,265,266,267,271,272,274,275,278,279,285,288,292,293,298,299

%N Natural numbers k such that there are infinitely many representations k = A/B with A, B in A035928.

%C This sequence and A351176 form a disjoint partition of A351172.

%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.

%Y Cf. A035928, A351172, A351176.

%K nonn,base

%O 1,2

%A _Jeffrey Shallit_, Feb 04 2022