

A321310


List of pairs of numbers with mirror symmetry (calculatorstyle 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
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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



