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 A029987 Squares which are palindromes in base 4. 14
 0, 1, 25, 289, 441, 4225, 5041, 6889, 66049, 74529, 78961, 100489, 1050625, 1113025, 16785409, 17313921, 17581249, 19368801, 26594649, 26822041, 27258841, 268468225, 272613121, 284428225, 297183121, 4295098369 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 LINKS Chai Wah Wu, Table of n, a(n) for n = 1..408 Patrick De Geest, Palindromic Squares EXAMPLE 5^2 = 25 in base 4 is 121, which is a palindrome, hence 25 is in the sequence. 6^2 = 36 in base 4 is 210, which is not a palindrome, so 36 is not in the sequence. MATHEMATICA palindromicQ[n_, b_:10] := TrueQ[IntegerDigits[n, b] == Reverse[IntegerDigits[n, b]]]; Select[Range[1000]^2, palindromicQ[#, 4] &] (* Alonso del Arte, Mar 04 2017 *) Select[Range[0, 70000]^2, IntegerDigits[#, 4]==Reverse[IntegerDigits[#, 4]]&] (* Harvey P. Dale, May 07 2022 *) PROG (PARI) lista(nn) = for (n=0, nn, d = digits(n^2, 4); if (Vecrev(d) == d, print1(n^2, ", "))); \\ Michel Marcus, Mar 05 2017 CROSSREFS Cf. A029986. Sequence in context: A265967 A225873 A351925 * A017582 A335598 A210430 Adjacent sequences: A029984 A029985 A029986 * A029988 A029989 A029990 KEYWORD nonn,base AUTHOR Patrick De Geest STATUS approved

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Last modified June 24 19:44 EDT 2024. Contains 373690 sequences. (Running on oeis4.)