A136912 Numbers k such that k and k^2 use only the digits 0, 2, 5, 6 and 7.

0, 5, 25, 26, 50, 75, 76, 225, 250, 255, 260, 265, 266, 275, 500, 505, 525, 526, 725, 726, 750, 755, 760, 775, 2250, 2500, 2505, 2550, 2600, 2650, 2660, 2750, 2766, 2775, 5000, 5005, 5025, 5026, 5050, 5075, 5076, 5250, 5260, 5265, 7075, 7225, 7250, 7260, 7500, 7525, 7550, 7600, 7750, 22500, 25000, 25005, 25025, 25050, 25500, 25505, 26000, 26005, 26500

Offset

1,2

Comments

Generated with DrScheme.

Links

Jonathan Wellons, Table of n, a(n) for n = 1..1295

J. Wellons, Tables of Shared Digits [archived]

Example

756706725^2 = 572605067660225625.

Mathematica

Select[FromDigits/@Tuples[{0, 2, 5, 6, 7}, 5], And@@Table[MemberQ[{0, 2, 5, 6, 7}, n], {n, IntegerDigits[#^2]}]&] (* Harvey P. Dale, Nov 19 2013 *)
With[{c={0, 2, 5, 6, 7}}, Select[FromDigits/@Tuples[c, 5], SubsetQ[c, IntegerDigits[ #^2]]&]] (* Harvey P. Dale, Mar 14 2023 *)

Crossrefs

Sequence in context: A137112 A037410 A070381 * A137111 A137110 A036137

Adjacent sequences: A136909 A136910 A136911 * A136913 A136914 A136915

Keyword

base,nonn

Author

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

Status

approved