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A173857 Expansion of 3/2 in base phi. 3

%I #22 Dec 12 2023 07:38:59

%S 1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,

%T 0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,

%U 1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1

%N Expansion of 3/2 in base phi.

%C After the initial term, has period 3. - _Joerg Arndt_ and _R. J. Mathar_, Mar 04 2010

%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,1).

%F 3/2 = 1 + phi^2*(1 + phi^3 + phi^6 + phi^9 + phi^12 + ...). - _Joerg Arndt_, Mar 04 2010

%F G.f.: x*(1+x^2-x^3)/(1-x^3). - _Bruno Berselli_, Apr 06 2012

%F a(n) = A079978(n) with n > 1, a(1)=1. - _Bruno Berselli_, Apr 06 2012

%t RealDigits[3/2, GoldenRatio, 111][[1]]

%K nonn,base,easy

%O 1,1

%A _Robert G. Wilson v_, Feb 26 2010

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Last modified March 28 22:04 EDT 2024. Contains 371254 sequences. (Running on oeis4.)