A029985 Squares which are palindromes in base 3.

0, 1, 4, 16, 100, 121, 400, 484, 784, 1156, 3136, 6724, 7921, 12769, 23716, 26896, 59536, 68644, 238144, 274576, 532900, 570025, 643204, 743044, 1042441, 1800964, 1844164, 2131600, 4787344, 5026564, 7203856, 7376656, 9278116

Offset

1,3

Links

Chai Wah Wu, Table of n, a(n) for n = 1..521

Patrick 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

b3pQ[n_]:=Module[{idn3=IntegerDigits[n, 3]}, idn3==Reverse[idn3]]; Select[ Range[0, 3200]^2, b3pQ] (* Harvey P. Dale, Aug 07 2011 *)

Crossrefs

Cf. A029984, A263607, A263608; also A002778, A003166.

Sequence in context: A236772 A209299 A091040 * A114023 A145823 A121142

Adjacent sequences: A029982 A029983 A029984 * A029986 A029987 A029988

Keyword

nonn,base

Author

Patrick De Geest

Status

approved