A053890 Numbers k such that k^2 contains only digits {1,3,4}.

1, 2, 12, 21, 38, 1188, 20771, 37962, 3378512, 11594538, 65833989271, 3798830532038, 575684923751188, 21079405433537116521, 177324875114669443080086908188

Offset: 1

Author

Patrick De Geest, Mar 15 2000

Keywords

• nonn
• base
• more

Links

• Author?, Squares with at most three types of digits (txt)
• Patrick De Geest, Squares containing at most three distinct digits, Index entries for related sequences
• H. Mishima, Sporadic tridigital solutions

Crossrefs

Cf. A053891.

Programs

Mathematica

Select[Range[1, 10000], ContainsOnly[IntegerDigits[#^2], {1, 3, 4}] &] (* Julien Kluge, Jul 08 2016 *)

Extensions

More terms from C. Ronaldo (aga_new_ac(AT)hotmail.com), Jan 04 2005

One more term from Jon E. Schoenfield, Sep 03 2006

Two more terms from Mishima's page added by Max Alekseyev, Jan 28 2012

a(15) from Zhao Hui Du, Mar 06 2024