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A321310 List of pairs of numbers with mirror symmetry (calculator-style numerals). 0
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified February 27 11:23 EST 2021. Contains 341655 sequences. (Running on oeis4.)