A058418 Squares composed of digits {0,1,6}, not ending with zero.

1, 16, 106110601, 110166016, 116661601, 6661661161, 1006011006001, 1016066016001, 10006001100060001, 10016006600160001, 106601106600066001, 100006000110000600001, 100016000660001600001, 610001061061016601601, 1601016161610101600016, 1000006000011000006000001

Offset: 1

Author

Patrick De Geest, Nov 15 2000

Keywords

• nonn
• base

Comments

Includes all numbers of the form (100^k + 3*10^k + 1)^2 for k >= 2, of the form (100^k + 8*10^k + 1)^2 for k >= 2, and of the form (4*100^k + 127*10^k + 4)^2 for k >= 5. - Andrew Howroyd, Oct 18 2024

Links

• Andrew Howroyd, Table of n, a(n) for n = 1..47
• Patrick De Geest, Index to related sequences
• Hisanori Mishima, Sporadic tridigital solutions

Crossrefs

Cf. A058417.

Subsequence of A000290.

Formula

a(n) = A058417(n)^2. - Andrew Howroyd, Oct 18 2024

Extensions

a(15) onwards added using A058417 by Andrew Howroyd, Oct 18 2024