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A029994
Numbers k such that k^2 is palindromic in base 9.
12
0, 1, 2, 10, 20, 82, 91, 100, 164, 730, 820, 1460, 6562, 6643, 6724, 7300, 7381, 7462, 13124, 13642, 13660, 14281, 54050, 59050, 59860, 65620, 66430, 118100, 123010, 126286, 161410, 161896, 487750, 531442, 532171
OFFSET
1,3
MATHEMATICA
pb9Q[n_]:=Module[{idn=IntegerDigits[n^2, 9]}, idn==Reverse[idn]]; Select[ Range[0, 600000], pb9Q] (* Harvey P. Dale, Sep 29 2013 *)
CROSSREFS
Cf. A007095.
Numbers k such that k^2 is palindromic in base b: A003166 (b=2), A029984 (b=3), A029986 (b=4), A029988 (b=5), A029990 (b=6), A029992 (b=7), A029805 (b=8), this sequence (b=9), A002778 (b=10), A029996 (b=11), A029737 (b=12), A029998 (b=13), A030072 (b=14), A030073 (b=15), A029733 (b=16), A118651 (b=17).
Sequence in context: A120552 A090220 A164882 * A298411 A324474 A294493
KEYWORD
nonn,base,changed
STATUS
approved