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.)

65, 67, 75, 85, 96, 130, 134, 150, 170, 192, 195, 225, 255, 288, 300, 327, 340, 375, 381, 425, 433, 450, 487, 510, 525, 595, 600, 654, 665, 667, 675, 680, 750, 762, 765, 795, 825, 895, 900, 927, 974, 975, 981, 996, 1050, 1125, 1200, 1275, 1277, 1308, 1330, 1334, 1340, 1350, 1535, 1590

Offset

1,1

Comments

Proved infinite by Álvaro Lozano-Robledo.

Links

Table of n, a(n) for n=1..56.

Jordan Canevari, Python program

Jordan Canevari, Data for each value of sequence

Á. Lozano-Robledo and J. Canevari, Proof that the sequence is infinite

Example

65 =  (4,1)_16  = (1,4)_61.
134 = (10,4)_13 = (4,10)_31.

Prog

(Python) # See Canevari link.

Crossrefs

Subsequence of A355313.

Sequence in context: A044875 A174928 A355313 * A081647 A257444 A045025

Adjacent sequences: A354471 A354472 A354473 * A354475 A354476 A354477

Keyword

nonn,base

Author

Jordan Canevari, Jun 25 2022

Status

approved