A173857 Expansion of 3/2 in base phi.

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, 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, 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

Offset

1,1

Comments

After the initial term, has period 3. - Joerg Arndt and R. J. Mathar, Mar 04 2010

Links

Table of n, a(n) for n=1..105.

Index entries for linear recurrences with constant coefficients, signature (0,0,1).

Formula

3/2 = 1 + phi^2*(1 + phi^3 + phi^6 + phi^9 + phi^12 + ...). - Joerg Arndt, Mar 04 2010

G.f.: x*(1+x^2-x^3)/(1-x^3). - Bruno Berselli, Apr 06 2012

a(n) = A079978(n) with n > 1, a(1)=1. - Bruno Berselli, Apr 06 2012

Mathematica

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

Crossrefs

Sequence in context: A089495 A345703 A365807 * A114482 A371844 A365799

Adjacent sequences: A173854 A173855 A173856 * A173858 A173859 A173860

Keyword

nonn,base,easy

Author

Robert G. Wilson v, Feb 26 2010

Status

approved