A029994 Numbers k such that k^2 is palindromic in base 9.

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

Links

Seiichi Manyama, Table of n, a(n) for n = 1..100

Patrick De Geest, Palindromic Squares

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

Adjacent sequences: A029991 A029992 A029993 * A029995 A029996 A029997

Keyword

nonn,base

Author

Patrick De Geest

Status

approved