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A173857 Expansion of 3/2 in base phi. 1

%I

%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">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,1).

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

%F a(n) = (1/9)*(4*((n-1) mod 3)-2*(n mod 3)+((n+1) mod 3))+(C(2*(n-1),n-1) mod 2). [_Paolo P. Lava_, Mar 15 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 February 25 21:55 EST 2020. Contains 332264 sequences. (Running on oeis4.)