A029997 Squares which are palindromes in base 11.

0, 1, 4, 9, 36, 144, 576, 676, 5184, 7056, 14884, 17689, 20736, 59536, 65025, 77841, 145924, 535824, 1774224, 2143296, 2547216, 5827396, 7096896, 7817616, 9375844, 20034576, 63872064, 214388164, 217946169, 221533456, 255488256, 259371025

Offset: 1

Author

Patrick De Geest

Keywords

• nonn
• base

Links

• Vincenzo Librandi and Chai Wah Wu, Table of n, a(n) for n = 1..129 First 60 terms from Vincenzo Librandi.
• Patrick De Geest, Palindromic Squares in bases 2 to 17

Crossrefs

Cf. A002779, A029734, A029738, A029806, A029983, A029985, A029987, A029989, A029991, A029993, A029995, A029999, A030074, A030075.

Programs

Mathematica

pb11Q[n_]:=Module[{idn11=IntegerDigits[n,11]},idn11==Reverse[idn11]]; Select[Range[0,17000]^2,pb11Q] (* Harvey P. Dale, Jul 23 2014 *)

Python

from gmpy2 import digits
A029997_list = [n for n in (x**2 for x in range(10**7)) if digits(n,11) == digits(n,11)[::-1]]
# Chai Wah Wu, Dec 01 2014