login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A137082
Numbers k such that k and k^2 use only the digits 2, 3, 5, 6 and 9.
1
3, 5, 6, 23, 25, 63, 235, 236, 256, 2323, 2365, 2523, 22925, 23566, 25565, 26335, 59635, 62925, 232236, 236565, 252236, 255663, 263235, 626335, 996963, 2293325, 2353656, 2359923, 2555256, 2556663, 2556665, 2633235, 2639236, 5996963, 6263335, 6295236, 9626335, 9626366, 9639635, 9966925, 9996963, 22955665, 23522235, 23566925, 23592235
OFFSET
1,1
COMMENTS
Generated with DrScheme.
LINKS
J. Wellons, Tables of Shared Digits [archived]
EXAMPLE
596365936252535^2 = 355652329922362639359293926225.
MATHEMATICA
nsnQ[n_]:=SubsetQ[{2, 3, 5, 6, 9}, IntegerDigits[n^2]]; Table[Select[ FromDigits/@ Tuples[{2, 3, 5, 6, 9}, n], nsnQ], {n, 8}]//Flatten (* Harvey P. Dale, Jun 24 2018 *)
CROSSREFS
Sequence in context: A276704 A103022 A086189 * A242501 A099414 A004785
KEYWORD
base,nonn
AUTHOR
Jonathan Wellons (wellons(AT)gmail.com), Jan 22 2008
STATUS
approved