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%I #6 Aug 15 2015 14:56:41
%S 3,6,2,6,5,5,3,1,6,1,6,9,4,9,7,3,7,2,5,8,7,7,2,3,2,2,5,2,0,9,3,3,1,7,
%T 4,9,1,7,0,9,4,7,5,7,8,5,7,9,5,0,2,4,6,9,6,8,0,2,4,3,7,2,2,6,7,9,0,0,
%U 7,2,1,2,0,1,0,0,8,3,9,3,8,9,1,2,6,3,2,4,7,9,3,5,6,7,3,1,3,6,2,8,3,9,9,6,9
%N Decimal expansion of onset of logistic map 6-bifurcation.
%C Algebraic of order 40.
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/LogisticMap.html">Logistic Map</a>
%e 3.6265531616949737258...
%t RealDigits[Root[3063651608241 + 583552687284*#1 + 1847916843066*#1^2 - 195203691396*#1^3 - 266965430067*#1^4 - 930539982708*#1^5 - 32353949026*#1^6 - 20846657216*#1^7 + 268499651644*#1^8 + 203273817100*#1^9 - 70347416426*#1^10 - 23477492116*#1^11 - 148805533357*#1^12 + 63425976316*#1^13 + 29299283358*#1^14 + 1219753488*#1^15 + 10442067223*#1^16 - 25709485160*#1^17 + 5757007476*#1^18 + 945192256*#1^19 + 3195434424*#1^20 + 746246488*#1^21 - 3839476860*#1^22 + 1483852216*#1^23 + 347099271*#1^24 - 126361652*#1^25 - 100717898*#1^26 - 75365092*#1^27 + 137026587*#1^28 - 48885412*#1^29 - 12966642*#1^30 + 16770304*#1^31 - 5563348*#1^32 + 195228*#1^33 + 516582*#1^34 - 225060*#1^35 + 52181*#1^36 - 7676*#1^37 + 722*#1^38 - 40*#1^39 + #1^40 &, 5],10,110][[1]]
%Y Cf. A086178, A086180, A091517, A098587, A118454.
%K nonn,cons
%O 1,1
%A _Eric W. Weisstein_, Apr 28 2006
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