A321310 List of pairs of numbers with mirror symmetry (calculator-style numerals).

0, 0, 1, 1, 2, 5, 5, 2, 8, 8, 11, 11, 12, 51, 15, 21, 18, 81, 21, 15, 22, 55, 25, 25, 28, 85, 51, 12, 52, 52, 55, 22, 58, 82, 81, 18, 82, 58, 85, 28, 88, 88, 101, 101, 102, 501, 105, 201, 108, 801, 111, 111, 112, 511, 115, 211, 118, 811, 121, 151, 122, 551

Offset: 0

Author

Kritsada Moomuang, Nov 03 2018

Keywords

• nonn
• base
• tabf

Comments

2 and 5 are taken as mirror images (as on calculator displays).

Examples

			The sequence begins:
   0,  0;
   1,  1;
   2,  5;
   5,  2;
   8,  8;
  11, 11;
  12, 51;
  15, 21;
  18, 81;
  21, 15;
  22, 55;
  25, 25;
  28, 85;
...
81 has its reflection as 18 in a mirror.
125 has its reflection as 251 in a mirror.
		

Crossrefs

Cf. A018846, A053701, A080228.

Programs

Mathematica

{0, 0}~Join~Array[If[Mod[#, 10] == 0, Nothing, If[IntegerLength[#1] == Length[#2], {#1, FromDigits@ #2}, Nothing] & @@ {#, Reverse@ IntegerDigits@ # /. {2 -> 5, 3 -> Nothing, 4 -> Nothing, 5 -> 2, 6 -> Nothing, 7 -> Nothing, 9 -> Nothing}}] &, 123] // Flatten (* Michael De Vlieger, Nov 05 2018 *)