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A319609 Numbers in base 10 that are palindromic in bases 4, 8 and 16. 0

%I

%S 0,1,2,3,5,170,4095,4097,8194,12291,20485,21845,696490,699050,

%T 16777215,16777217,16781313,16785409,16789505,33554434,33558530,

%U 33562626,33566722,50331651,50335747,50339843,50343939,83886085,83906565,89458005,89478485

%N Numbers in base 10 that are palindromic in bases 4, 8 and 16.

%e 170 = 2222_4 = 252_8 = AA_16. Hence 170 is in the sequence.

%t palQ[n_, b_] := PalindromeQ[IntegerDigits[n, b]];

%t Reap[Do[If[palQ[n, 4] && palQ[n, 8] && palQ[n, 16], Print[n]; Sow[n]], {n, 0, 10^6}]][[2, 1]] (* _Jean-Fran├žois Alcover_, Sep 25 2018 *)

%o (Sage) [n for n in (0..100000) if Word(n.digits(4)).is_palindrome() and Word(n.digits(8)).is_palindrome() and Word(n.digits(16)).is_palindrome()]

%o (MAGMA) [n: n in [0..2*10^7] | Intseq(n, 4) eq Reverse(Intseq(n, 4)) and Intseq(n, 8) eq Reverse(Intseq(n, 8)) and Intseq(n, 16) eq Reverse(Intseq(n, 16))]; // _Vincenzo Librandi_, Sep 24 2018

%Y Intersection of A014192, A029803 and A029730.

%K nonn,base

%O 1,3

%A _Jeremias M. Gomes_, Sep 24 2018

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Last modified August 4 16:25 EDT 2021. Contains 346447 sequences. (Running on oeis4.)