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A233524 Numbers n such that the binary expansion of Fibonacci(n) is a palindrome (leading zero digits are not permitted). 0
0, 1, 2, 4, 5, 8 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,3
COMMENTS
The next term of the sequence, if it exists, is greater than 10^5.
No more terms < 10^7. - Lars Blomberg, Jun 19 2014
LINKS
Huang Yuke and Wen Zhiying, The structure of palindromes in the Fibonacci sequence and some applications, arXiv: 1601.04391[math.DS], 2016.
MATHEMATICA
t = {}; Do[b = IntegerDigits[Fibonacci[n], 2]; If[b == Reverse[b], AppendTo[t, n]], {n, 0, 1000}]; t (* T. D. Noe, Dec 14 2013 *)
Select[Range[0, 10], PalindromeQ[IntegerDigits[Fibonacci[#], 2]]&] (* Requires Mathematica version 10 or later *) (* Harvey P. Dale, Aug 04 2019 *)
CROSSREFS
Cf. A000045 (Fibonacci), A004685 (binary Fibonacci), A007088 (binary nonnegative integers).
Cf. A045504.
Sequence in context: A119909 A301521 A097698 * A324331 A101410 A110991
KEYWORD
nonn,base,more
AUTHOR
L. Edson Jeffery, Dec 11 2013
STATUS
approved

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Last modified July 18 12:17 EDT 2024. Contains 374378 sequences. (Running on oeis4.)