login

Reminder: The OEIS is hiring a new managing editor, and the application deadline is January 26.

Numbers that can be written as reversals in two different bases, where the bases are also reversals. (Trailing zeros are allowed.)
2

%I #26 Aug 23 2022 10:37:07

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

%T 381,425,433,443,450,456,487,510,525,595,600,654,665,667,675,680,750,

%U 762,765,795,825,886,895,900,912,927,974,975,981,996,1050,1125,1139,1200,1275,1277,1308,1330,1334,1340,1350,1368,1535,1543,1590

%N Numbers that can be written as reversals in two different bases, where the bases are also reversals. (Trailing zeros are allowed.)

%C Numbers that use trailing zeros are included in this sequence. See the last two examples.

%C Proved to be infinite by Álvaro Lozano-Robledo.

%H Jordan Canevari, <a href="/A355313/a355313.txt">Generating Python program</a>

%H Jordan Canevari, <a href="/A355313/a355313_1.txt">Data for each term in 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;

%e 443 = (13:1)_34 = (1:13)_430;

%e 456 = (1,5,0)_19 = (5,1)_91.

%o (Python) See Canevari link

%Y A354474 is a subsequence.

%K nonn,base

%O 1,1

%A _Jordan Canevari_, Jun 27 2022