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A220812 Denominators of the Verhulst sequence x(n+1)=4*x(n)-3*x(n)^2, x(0)=1/10. 5

%I #9 Jan 26 2022 11:58:37

%S 10,100,10000,100000000,10000000000000000,

%T 100000000000000000000000000000000,

%U 10000000000000000000000000000000000000000000000000000000000000000

%N Denominators of the Verhulst sequence x(n+1)=4*x(n)-3*x(n)^2, x(0)=1/10.

%D H. O. Peitgen and P. H. Richter, The Beauty of Fractals. Springer, 1986, p. 23f.

%H Reinhard Zumkeller, <a href="/A220812/b220812.txt">Table of n, a(n) for n = 0..9</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/LogisticEquation.html">Logistic Equation</a>

%H Wikipedia, <a href="http://en.wikipedia.org/wiki/Logistic_map">Logistic map</a>

%F a(n) = 10^(2^n)) = A011557(A000079(n)). - _Reinhard Zumkeller_, Dec 22 2012

%o (Haskell)

%o a220812 = a011557 . a000079 -- _Reinhard Zumkeller_, Dec 22 2012

%Y Cf. A051840, A220811 (numerators).

%K nonn,frac

%O 0,1

%A _Reinhard Zumkeller_, Dec 22 2012

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Last modified April 25 11:03 EDT 2024. Contains 371967 sequences. (Running on oeis4.)