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A137076
Numbers k such that k and k^2 use only the digits 2, 3, 4 and 8.
0
2, 22, 482, 4832
OFFSET
1,1
COMMENTS
Generated with DrScheme.
No additional terms up to and including 8,888,888,888. - Harvey P. Dale, May 20 2013
From Pontus von Brömssen, May 01 2024: (Start)
a(5) > 2*10^46 (if it exists).
If k = x*10^m is a term where 1 < x < 10 and k is not 2 or 22, then 2.8848282242248382238222282824283488432244284844 < x < 4.8834848443384488344824824882442388824834848223.
(End)
EXAMPLE
4832^2 = 23348224.
MATHEMATICA
odQ[n_]:=Module[{d=Union[IntegerDigits[n^2]]}, And@@Table[MemberQ[{2, 3, 4, 8}, d[[i]]], {i, Length[d]}]]; Flatten[Table[Select[ FromDigits/@ Tuples[ {2, 3, 4, 8}, n], odQ], {n, 10}]] (* Harvey P. Dale, May 20 2013 *)
CROSSREFS
Sequence in context: A354943 A084949 A276454 * A090730 A090313 A110129
KEYWORD
base,nonn,more
AUTHOR
Jonathan Wellons (wellons(AT)gmail.com), Jan 22 2008
STATUS
approved