A136931 Numbers k such that k and k^2 use only the digits 0, 3, 4, 6 and 8.

0, 6, 8, 60, 80, 600, 800, 6000, 6638, 6808, 6844, 8000, 60000, 60406, 60688, 66380, 66808, 68080, 68440, 80000, 600000, 604060, 606880, 663800, 668080, 680800, 684400, 800000, 6000000, 6003406, 6004006, 6040600, 6068800, 6638000, 6680800, 6808000, 6844000, 8000000, 60000000, 60034060, 60040060, 60406000, 60688000, 66363008, 66380000

Offset

1,2

Comments

Generated with DrScheme.

Links

Jonathan Wellons, Table of n, a(n) for n = 1..378

J. Wellons, Tables of Shared Digits [archived]

Example

683084686436344^2 = 466604688843838404646364086336.

Mathematica

s={0, 3, 4, 6, 8}; Select[Range[0, 10^6], SubsetQ[s, Sort[DeleteDuplicates[IntegerDigits[#]]]] && SubsetQ[s, Sort[DeleteDuplicates[IntegerDigits[#^2]]]] &] (* Stefano Spezia, Aug 11 2025 *)

Crossrefs

See also A058429-A058430. - M. F. Hasler, Jan 24 2008

Sequence in context: A272963 A218215 A240544 * A192383 A322544 A270038

Adjacent sequences: A136928 A136929 A136930 * A136932 A136933 A136934

Keyword

base,nonn

Author

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

Status

approved