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A134974 Decimal expansion of 4*(-1 + phi) = 4*A094214, where the golden ratio phi = A001622. 2

%I

%S 2,4,7,2,1,3,5,9,5,4,9,9,9,5,7,9,3,9,2,8,1,8,3,4,7,3,3,7,4,6,2,5,5,2,

%T 4,7,0,8,8,1,2,3,6,7,1,9,2,2,3,0,5,1,4,4,8,5,4,1,7,9,4,4,9,0,8,2,1,0,

%U 4,1,8,5,1,2,7,5,6,0,9,7,9,8,8,2,8,8

%N Decimal expansion of 4*(-1 + phi) = 4*A094214, where the golden ratio phi = A001622.

%C This equals the dimensionless q-entropy (Tsallis entropy) of the set of 5 probabilities {p_i = 1/5, i = 1..5} for q = 1/2, which is S/k = -(1 - 5*(1/5)^(1/2))/(1 - 1/2) (k is the Boltzmann constant). See the Wikipedia link. - _Wolfdieter Lang_, Dec 06 2018

%H Muniru A Asiru, <a href="/A134974/b134974.txt">Table of n, a(n) for n = 1..2000</a>

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Tsallis_entropy">Tsallis entropy</a>.

%F Equals 4*(-1 + phi) = 4*A094214, where phi = A001622. This is an integer in the field Q(sqrt(5)).

%F Equals 4/phi = 8/(1 + sqrt(5))).

%F Equals 10*A020762-2 = A010476-2. - _R. J. Mathar_, Oct 27 2008

%F Equals 2*(sqrt(5) - 1) = 2*A134972. - _M. F. Hasler_, Dec 14 2018

%e 2.47213595499957939281834733746255247...

%p evalf[100](8/(1+sqrt(5))); # _Muniru A Asiru_, Dec 19 2018

%t RealDigits[4/GoldenRatio,10,120][[1]] (* _Harvey P. Dale_, Oct 30 2016 *)

%o (PARI) 2*(sqrt(5)-1) \\ or: digits( % \1e-35). - _M. F. Hasler_, Dec 14 2018

%Y Cf. A001622, A010476, A020762, A094214, A134972.

%K cons,nonn

%O 1,1

%A _Omar E. Pol_, Nov 15 2007

%E More terms from _Harvey P. Dale_, Oct 30 2016

%E Edited by _Wolfdieter Lang_, Dec 14 2018

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Last modified August 14 19:47 EDT 2020. Contains 336483 sequences. (Running on oeis4.)