Search: id:A006891
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%I A006891 M1311
%S A006891 2,5,0,2,9,0,7,8,7,5,0,9,5,8,9,2,8,2,2,2,8,3,9,0,2,8,7,3,2,1,8,2,1,5,7,
%T A006891 8,6,3,8,1,2,7,1,3,7,6,7,2,7,1,4,9,9,7,7,3,3,6,1,9,2,0,5,6,7,7,9,2,3,5,
%U A006891 4,6,3,1,7,9,5,9,0,2,0,6,7,0,3,2,9,9,6,4,9,7,4,6,4,3,3,8,3,4,1,2,9,5,9
%N A006891 Decimal expansion of Feigenbaum reduction parameter.
%D A006891 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A006891 K. Briggs, A precise calculation of the Feigenbaum constants, Math. Comp., 
               57 (1991), 435-439.
%D A006891 B. Derrida, A. Gervois and Y. Pomeau, Universal metric properties of 
               bifurcations, J. Phys. A 12 (1979), 269-.
%D A006891 S. R. Finch, Mathematical Constants, Encyclopedia of Mathematics and 
               its Applications, vol. 94, Cambridge University Press, pp. 65-76
%H A006891 Harry J. Smith, <a href="b006891.txt">Table of n, a(n) for n=1,...,1018</
               a>
%H A006891 S. Plouffe, <a href="http://www.worldwideschool.org/library/books/sci/
               math/MiscellaneousMathematicalConstants/chap33.html">Feigenbaum constants</
               a>
%H A006891 S. Plouffe, Plouffe's Inverter, <a href="http://pi.lacim.uqam.ca/piDATA/
               feigenbaum.txt">Feigenbaum constants to 1018 decimal places</a>
%H A006891 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               FeigenbaumConstant.html">Link to a section of The World of Mathematics</
               a>
%e A006891 2.5029...
%e A006891 2.502907875095892822283902873218215786381271376727149977336192056779235... 
               [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), May 13 2009]
%o A006891 Contribution from Harry J. Smith (hjsmithh(AT)sbcglobal.net), May 15 
               2009: (Start)
%o A006891 (PARI) { default(realprecision,1019); alpha=-2.5029078750958928222839028732182157863812713767271499773361\
%o A006891 9205677923546317959020670329964974643383412959523186999585472394218\
%o A006891 2377785445179272863314993372578112163594879503744781260997380598671\
%o A006891 2397117373289276654044010306698313834600094139322364490657889951220\
%o A006891 5843172507873377463087853424285351988587500042358246918740820428170\
%o A006891 0901714823051821621619413199856066129382742649709844084470100805454\
%o A006891 9677936760888126446406885181552709324007542506497157047047541993283\
%o A006891 1783645332562415378693957125097066387979492654623137674591890981311\
%o A006891 6752434221110130913127837160951158341230841503716499702022468121964\
%o A006891 4081216686527458043026245782561067150138521821644953254334987348741\
%o A006891 3352795815351016583605455763513276501810781194836945957485023739823\
%o A006891 5452625632779475397269902012891516645793942019892024880339405169968\
%o A006891 6551494477396533876979741232354061781989611249409599035312899773361\
%o A006891 1849847377946108428833293833903950900891408635152562680338141466927\
%o A006891 9913310743349705143545201344643426475200162138461072992264199433277\
%o A006891 2918977769053802596851; x=-alpha; for (n=1, 1018, d=floor(x); x=(x-d)*10; 
               write("b006891.txt", n, " ", d)); } (End)
%Y A006891 Cf. A006890, the Feigenbaum bifurcation velocity.
%Y A006891 Cf. A159767 = Continued fraction. [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), 
               May 13 2009]
%Y A006891 Sequence in context: A011183 A005671 A127863 this_sequence A054675 A136209 
               A112695
%Y A006891 Adjacent sequences: A006888 A006889 A006890 this_sequence A006892 A006893 
               A006894
%K A006891 cons,nonn,nice
%O A006891 1,1
%A A006891 N. J. A. Sloane (njas(AT)research.att.com), C. L. Mallows (colinm(AT)research.avayalabs.com), 
               Jeffrey Shallit
%E A006891 More terms from Simon Plouffe (simon.plouffe(AT)gmail.com), Jan 06, 2002
%E A006891 Fixed my PARI program, had -n Harry J. Smith (hjsmithh(AT)sbcglobal.net), 
               May 19 2009

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