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A354474 Numbers that can be written as reversals in two different bases, where the bases are also reversals of each other. (Trailing zeros are not allowed.) 2

%I #103 Mar 18 2023 16:30:36

%S 65,67,75,85,96,130,134,150,170,192,195,225,255,288,300,327,340,375,

%T 381,425,433,450,487,510,525,595,600,654,665,667,675,680,750,762,765,

%U 795,825,895,900,927,974,975,981,996,1050,1125,1200,1275,1277,1308,1330,1334,1340,1350,1535,1590

%N Numbers that can be written as reversals in two different bases, where the bases are also reversals of each other. (Trailing zeros are not allowed.)

%C Proved infinite by Álvaro Lozano-Robledo.

%H Jordan Canevari, <a href="/A354474/a354474_2.txt">Python program</a>

%H Jordan Canevari, <a href="/A354474/a354474_3.txt">Data for each value of sequence</a>

%H Á. Lozano-Robledo and J. Canevari, <a href="https://www.tiktok.com/@mathandcobb/video/7110667721133690158">Proof that the sequence is infinite</a>

%e 65 = (4,1)_16 = (1,4)_61.

%e 134 = (10,4)_13 = (4,10)_31.

%o (Python) # See Canevari link.

%Y Subsequence of A355313.

%K nonn,base

%O 1,1

%A _Jordan Canevari_, Jun 25 2022

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Last modified May 3 14:39 EDT 2024. Contains 372215 sequences. (Running on oeis4.)