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A065354 Decimal representation of binary palindromes extracted from the Golden String using ever-increasing Lucas-style subdivisions. 1

%I #16 Oct 27 2019 11:52:49

%S 1,5,6,107,730,224091,190536538,120316721060699,

%T 26815615903949132618586,9090874414162652716478489106641017691,

%U 285152539069955354427985396951391834474389843433339258362714

%N Decimal representation of binary palindromes extracted from the Golden String using ever-increasing Lucas-style subdivisions.

%C A zero must be prefixed to the 2n+1 terms (n>0) when converting back to binary.

%H Patrick De Geest and J. McNamara, <a href="http://www.worldofnumbers.com/em118.htm">Palindromes in the Golden String</a>

%H Ron Knott, <a href="http://www.maths.surrey.ac.uk/hosted-sites/R.Knott/Fibonacci/fibrab.html">The Fibonacci Rabbit sequence</a>

%e Bin (Dec) -> {10} skipped -> start: 1 (1); 101 (5); 0110 (6); 1101011 (107); 01011011010 (730); 110110101101011011 (224091); etc.

%Y Cf. A065353, A003849, A005203, A005614, A014675, A036299.

%K nonn,base

%O 1,2

%A _Patrick De Geest_, Oct 31 2001

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Last modified August 30 18:36 EDT 2024. Contains 375545 sequences. (Running on oeis4.)