A136862 Numbers k such that k and k^2 use only the digits 0, 1, 4, 6 and 9.

0, 1, 4, 10, 14, 40, 64, 100, 119, 140, 400, 640, 949, 1000, 1046, 1049, 1190, 1400, 4000, 4119, 6400, 9490, 10000, 10199, 10460, 10490, 10496, 10696, 11900, 14000, 40000, 40499, 40614, 41190, 44114, 64000, 64064, 64114, 94900, 94969, 100000, 100449, 100469, 100496, 100499, 100946, 101990, 104496, 104600, 104900, 104960, 106960, 119000, 140000

Offset

1,3

Comments

Generated with DrScheme.

Links

Jonathan Wellons, Table of n, a(n) for n = 1..1205

J. Wellons, Tables of Shared Digits [archived]

Example

10461401416969^2 = 109440919606961001001146961.

Mathematica

With[{c={0, 1, 4, 6, 9}}, Select[FromDigits/@Tuples[c, 6], SubsetQ[c, IntegerDigits[ #^2]]&]] (* Requires Mathematica version 10 or later *) (* Harvey P. Dale, Mar 11 2017 *)

Crossrefs

Sequence in context: A365679 A175588 A239788 * A191635 A123925 A310425

Adjacent sequences: A136859 A136860 A136861 * A136863 A136864 A136865

Keyword

base,nonn

Author

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

Status

approved