A136956 - OEIS

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A136956

Numbers k such that k and k^2 use only the digits 0, 4, 6, 8 and 9.

0, 8, 64, 80, 98, 640, 664, 800, 898, 980, 998, 6400, 6640, 6664, 8000, 8980, 8998, 9800, 9980, 9998, 64000, 66400, 66640, 66664, 80000, 89800, 89980, 89998, 98000, 98998, 99800, 99980, 99998, 640000, 664000, 664064, 666400, 666640, 666664, 684908, 800000, 806008, 896886, 898000, 899800, 899980, 899998, 980000, 989980, 989998, 990408, 998000

(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..1208

J. Wellons, Tables of Shared Digits [archived]

EXAMPLE

984686089068008^2 = 969606694004048984086049088064.

MATHEMATICA

With[{c={0, 4, 6, 8, 9}}, Select[FromDigits/@Tuples[c, 6], SubsetQ[ c, IntegerDigits[ #^2]]&]] (* Harvey P. Dale, Feb 04 2015 *)