A058442 Squares composed of digits {0,4,8}, not ending with zero.

4, 484, 40804, 88804, 4008004, 4088484, 4848804, 400080004, 400880484, 484088004, 840884004, 40000800004, 40008800484, 40080840804, 40804808004, 48400880004, 400084080484, 4000008000004, 4000088000484, 4000808040804, 4080408080004, 4080488880484, 4840008800004

Offset: 1

Author

Patrick De Geest, Nov 15 2000

Keywords

• nonn
• base

Links

• Zhao Hui Du, Table of n, a(n) for n = 1..4000
• Patrick De Geest, Index to related sequences.
• Hisanori Mishima, Sporadic tridigital solutions.

Crossrefs

Cf. A058441.

Programs

Mathematica

Select[FromDigits/@Tuples[{0,4,8},13],Mod[#,10]!=0&&IntegerQ[Sqrt[#]]&] (* Harvey P. Dale, Feb 14 2023 *)

Formula

a(n) = A058441(n)^2. - Elmo R. Oliveira, Jul 16 2025