A029984 Numbers k such that k^2 is palindromic in base 3.

0, 1, 2, 4, 10, 11, 20, 22, 28, 34, 56, 82, 89, 113, 154, 164, 244, 262, 488, 524, 730, 755, 802, 862, 1021, 1342, 1358, 1460, 2188, 2242, 2684, 2716, 3046, 4276, 4376, 4484, 6562, 6641, 6778, 8030, 8215, 8350, 8887, 12482, 13124, 14810, 19684

Offset

1,3

Links

Giovanni Resta, Table of n, a(n) for n = 1..400 (first 100 terms from Harvey P. Dale)

P. De Geest, Palindromic Squares

G. J. Simmons, On palindromic squares of non-palindromic numbers, J. Rec. Math., 5 (No. 1, 1972), 11-19. [Annotated scanned copy]

Mathematica

pal3Q[n_]:=Module[{idn3=IntegerDigits[n^2, 3]}, idn3==Reverse[idn3]]; Select[Range[0, 20000], pal3Q]  (* Harvey P. Dale, May 22 2012 *)

Crossrefs

Cf. A002778, A003166, A007089, A029985, A263607, A263608.

Sequence in context: A178713 A136818 A293556 * A101519 A227204 A249446

Adjacent sequences: A029981 A029982 A029983 * A029985 A029986 A029987

Keyword

nonn,base

Author

Patrick De Geest

Status

approved