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A014572 Continued fraction for Thue-Morse constant. +0
7
0, 2, 2, 2, 1, 4, 3, 5, 2, 1, 4, 2, 1, 5, 44, 1, 4, 1, 2, 4, 1, 1, 1, 5, 14, 1, 50, 15, 5, 1, 1, 1, 4, 2, 1, 4, 1, 43, 1, 4, 1, 2, 1, 3, 16, 1, 2, 1, 2, 1, 50, 1, 2, 424, 1, 2, 5, 2, 1, 1, 1, 5, 5, 2, 22, 5, 1, 1, 1, 1274, 3, 5, 2, 1, 1, 1, 4, 1, 1, 15, 154, 7, 2, 1, 2, 2, 1, 2, 1, 1, 50 (list; graph; listen)
OFFSET

0,2

REFERENCES

Beeler, M.; Gosper, R. W.; and Schroeppel, R. HAKMEM. Cambridge, MA: Mass. Institute of Technology Artificial Intelligence Laboratory, Memo AIM-239, Item 122, Feb. 1972.

LINKS

Harry J. Smith, Table of n, a(n) for n=0,...,20000

G. Xiao, Contfrac

Beeler, M., Gosper, R. W. and Schroeppel, R., HAKMEM, ITEM 122

Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.

Index entries for continued fractions for constants

EXAMPLE

P=0.4124540336401075977833613... = 0 + 1/(2 + 1/(2 + 1/(2 + 1/(1 + ...)))) [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Apr 25 2009]

PROGRAM

(PARI) { allocatemem(932245000); default(realprecision, 21000); x=0.0; m=70000; for (n=1, m-1, x=x+x; x=x+sum(k=0, length(binary(n))-1, bittest(n, k))%2); x=x/2^m; y=contfrac(x); for (n=1, 20001, write("b014572.txt", n-1, " ", y[n])); } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Apr 25 2009]

CROSSREFS

Sequence in context: A144393 A089400 A105777 this_sequence A071458 A131308 A109978

Adjacent sequences: A014569 A014570 A014571 this_sequence A014573 A014574 A014575

KEYWORD

nonn,cofr

AUTHOR

Eric Weisstein (eric(AT)weisstein.com)

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Last modified November 22 15:28 EST 2009. Contains 167310 sequences.


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