Voozh

A136885

Numbers k such that k and k^2 use only the digits 0, 2, 3, 4 and 8.

0, 2, 20, 22, 48, 200, 202, 220, 480, 482, 2000, 2002, 2020, 2022, 2200, 2202, 2832, 4482, 4800, 4820, 4832, 20000, 20002, 20020, 20022, 20200, 20220, 20838, 22000, 22002, 22020, 28320, 28338, 44820, 48000, 48200, 48202, 48302, 48320, 200000, 200002, 200020, 200022, 200200, 200202, 200220, 202000, 202002, 202200, 208332, 208380, 220000, 220002

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,2

COMMENTS

Generated with DrScheme.

LINKS

Jonathan Wellons, Table of n, a(n) for n = 1..1123

J. Wellons, Tables of Shared Digits [archived]

EXAMPLE

4840808040202^2 = 23433422482084328048200804.

MATHEMATICA

With[{c={0, 2, 3, 4, 8}}, Select[FromDigits/@Tuples[c, 6], SubsetQ[c, IntegerDigits[#^2]]&]] (* Harvey P. Dale, Oct 13 2025 *)