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Search: id:A006891
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| A006891 |
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Decimal expansion of Feigenbaum reduction parameter.
(Formerly M1311)
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+0
6
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| 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, 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, 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
(list; cons; graph; listen)
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OFFSET
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1,1
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
K. Briggs, A precise calculation of the Feigenbaum constants, Math. Comp., 57 (1991), 435-439.
B. Derrida, A. Gervois and Y. Pomeau, Universal metric properties of bifurcations, J. Phys. A 12 (1979), 269-.
S. R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, pp. 65-76
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LINKS
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Harry J. Smith, Table of n, a(n) for n=1,...,1018
S. Plouffe, Feigenbaum constants
S. Plouffe, Plouffe's Inverter, Feigenbaum constants to 1018 decimal places
Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics
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EXAMPLE
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2.5029...
2.502907875095892822283902873218215786381271376727149977336192056779235... [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), May 13 2009]
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PROGRAM
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Contribution from Harry J. Smith (hjsmithh(AT)sbcglobal.net), May 15 2009: (Start)
(PARI) { default(realprecision, 1019); alpha=-2.5029078750958928222839028732182157863812713767271499773361\
9205677923546317959020670329964974643383412959523186999585472394218\
2377785445179272863314993372578112163594879503744781260997380598671\
2397117373289276654044010306698313834600094139322364490657889951220\
5843172507873377463087853424285351988587500042358246918740820428170\
0901714823051821621619413199856066129382742649709844084470100805454\
9677936760888126446406885181552709324007542506497157047047541993283\
1783645332562415378693957125097066387979492654623137674591890981311\
6752434221110130913127837160951158341230841503716499702022468121964\
4081216686527458043026245782561067150138521821644953254334987348741\
3352795815351016583605455763513276501810781194836945957485023739823\
5452625632779475397269902012891516645793942019892024880339405169968\
6551494477396533876979741232354061781989611249409599035312899773361\
1849847377946108428833293833903950900891408635152562680338141466927\
9913310743349705143545201344643426475200162138461072992264199433277\
2918977769053802596851; x=-alpha; for (n=1, 1018, d=floor(x); x=(x-d)*10; write("b006891.txt", n, " ", d)); } (End)
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CROSSREFS
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Cf. A006890, the Feigenbaum bifurcation velocity.
Cf. A159767 = Continued fraction. [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), May 13 2009]
Adjacent sequences: A006888 A006889 A006890 this_sequence A006892 A006893 A006894
Sequence in context: A011183 A005671 A127863 this_sequence A054675 A136209 A112695
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KEYWORD
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cons,nonn,nice
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), C. L. Mallows (colinm(AT)research.avayalabs.com), Jeffrey Shallit
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EXTENSIONS
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More terms from Simon Plouffe (simon.plouffe(AT)gmail.com), Jan 06, 2002
Fixed my PARI program, had -n Harry J. Smith (hjsmithh(AT)sbcglobal.net), May 19 2009
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