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A321702 Numbers that are still valid after a horizontal reflection on a calculator display. 0
0, 1, 2, 3, 5, 8, 10, 11, 12, 13, 15, 18, 20, 21, 22, 23, 25, 28, 30, 31, 32, 33, 35, 38, 50, 51, 52, 53, 55, 58, 80, 81, 82, 83, 85, 88, 100, 101, 102, 103, 105, 108, 110, 111, 112, 113, 115, 118, 120, 121, 122, 123, 125, 128, 130, 131, 132, 133, 135, 138 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

Note that these numbers may not be unchanged after a horizontal reflection.

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

A007284 is a subsequence.

LINKS

Table of n, a(n) for n=1..60.

EXAMPLE

The sequence begins:

0, 1, 2, 3, 5, 8, 10, 11, 12, 13, ...;

0, 1, 5, 3, 2, 8, 10, 11, 15, 13, ...;

23 has its reflection as 53 in a horizontal mirror.

182 has its reflection as 185 in a horizontal mirror.

MATHEMATICA

Select[Range[0, 140], Intersection[IntegerDigits[#], {4, 6, 7, 9}] == {} &] (* Amiram Eldar, Nov 17 2018 *)

PROG

(PARI) a(n, d=[0, 1, 2, 3, 5, 8]) = fromdigits(apply(k -> d[1+k], digits(n-1, #d))) \\ Rémy Sigrist, Nov 17 2018

CROSSREFS

Cf. A000787, A007284, A018846.

Sequence in context: A331864 A272669 A028770 * A028800 A028841 A028840

Adjacent sequences:  A321699 A321700 A321701 * A321703 A321704 A321705

KEYWORD

nonn,base

AUTHOR

Kritsada Moomuang, Nov 17 2018

STATUS

approved

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Last modified February 27 11:38 EST 2021. Contains 341656 sequences. (Running on oeis4.)