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

0,5

Comments

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

Links

Table of n, a(n) for n=0..61.

Example

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.

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 *)

Crossrefs

Cf. A018846, A053701, A080228.

Sequence in context: A146100 A101458 A154953 * A187340 A153518 A153648

Adjacent sequences: A321307 A321308 A321309 * A321311 A321312 A321313

Keyword

nonn,base,tabf

Author

Kritsada Moomuang, Nov 03 2018

Status

approved