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
Links
- Giovanni Resta, Table of n, a(n) for n = 1..400 (first 100 terms from Harvey P. Dale)
- Patrick De Geest, Palindromic Squares in bases 2 to 17
- G. J. Simmons, On palindromic squares of non-palindromic numbers, J. Rec. Math., 5 (No. 1, 1972), 11-19. [Annotated scanned copy]
Programs
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Mathematica
pal3Q[n_]:=Module[{idn3=IntegerDigits[n^2,3]},idn3==Reverse[idn3]]; Select[Range[0,20000],pal3Q] (* Harvey P. Dale, May 22 2012 *)