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A087046 Algebraic order of r_n, the value of r in the logistic map that corresponding to the onset of the period 2^n-cycle. 5
1, 2, 12, 240, 65280, 4294901760, 18446744069414584320, 340282366920938463444927863358058659840, 115792089237316195423570985008687907852929702298719625575994209400481361428480 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..9.

I. S. Kotsireas and K. Karamanos, Exact computation of the bifurcation point B4 of the logistic map and the Bailey-Broadhurst conjectures, Internat. J. Bifur. Chaos Appl. Sci. Engrg., 14 (2004), 2417-2423. [Broken link?]

Eric Weisstein's World of Mathematics, Logistic Map

FORMULA

a(n) = 2^(2^(n - 1)) - 2^(2^(n - 2)) with n>1, a(1)=1. - Cheng Zhang, Apr 02 2012

MATHEMATICA

Table[If[n <= 1, 1, 2^(2^(n - 1)) - 2^(2^(n - 2))], {n, 1, 10}] (* Cheng Zhang, Apr 02 2012 *)

CROSSREFS

Cf. A086180, A086181, A087089, A118454, A000215.

Sequence in context: A132877 A007685 A132987 * A111403 A325501 A007986

Adjacent sequences:  A087043 A087044 A087045 * A087047 A087048 A087049

KEYWORD

nonn,hard

AUTHOR

Eric W. Weisstein, Aug 04 2003

EXTENSIONS

More terms from Cheng Zhang, Apr 03 2012

STATUS

approved

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Last modified June 15 22:19 EDT 2019. Contains 324145 sequences. (Running on oeis4.)