A136906 Numbers k such that k and k^2 use only the digits 0, 2, 4, 7 and 8.

0, 2, 20, 22, 28, 88, 200, 202, 220, 278, 280, 448, 472, 478, 878, 880, 2000, 2002, 2020, 2022, 2200, 2202, 2780, 2800, 2878, 4480, 4720, 4780, 8780, 8800, 20000, 20002, 20020, 20022, 20200, 20220, 22000, 22002, 22020, 27800, 28000, 28780, 44800, 47200, 47202, 47800, 84878, 87800, 88000, 88022, 200000, 200002, 200020, 200022, 200200, 200202

Offset

1,2

Comments

Generated with DrScheme.

Links

Jonathan Wellons, Table of n, a(n) for n = 1..1210

J. Wellons, Tables of Shared Digits [archived]

Example

4782702420472^2 = 22874242442788727484702784.

Mathematica

With[{c={0, 2, 4, 7, 8}}, Select[FromDigits/@Tuples[c, 6], SubsetQ[c, IntegerDigits[ #^2]]&]] (* Harvey P. Dale, Jan 22 2023 *)

Crossrefs

Sequence in context: A235500 A319953 A111193 * A260570 A022372 A322964

Adjacent sequences: A136903 A136904 A136905 * A136907 A136908 A136909

Keyword

base,nonn

Author

Jonathan Wellons (wellons(AT)gmail.com), Jan 22 2008

Status

approved