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A002667 Continued cotangent for Pi.
(Formerly M3171 N1286)
+0
19
3, 73, 8599, 400091364, 371853741549033970, 253461181173408820488703379557217678 (list; graph; listen)
OFFSET

0,1

REFERENCES

D. H. Lehmer, A cotangent analogue of continued fractions, Duke Math. J., 4 (1935), 323-340.

LINKS

Harry J. Smith, Table of n, a(n) for n=0,...,9

Index entries for sequences related to the number Pi

PROGRAM

(PARI) { default(realprecision, 10000); bn=vector(10); bn[1]=Pi; for(n=2, 10, bn[n]=(bn[n-1]*floor(bn[n-1]) + 1)/(bn[n-1] - floor(bn[n-1]))); for (n=1, 10, write("b002667.txt", n-1, " ", floor(bn[n]))); } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), May 04 2009]

CROSSREFS

Adjacent sequences: A002664 A002665 A002666 this_sequence A002668 A002669 A002670

Sequence in context: A012810 A020517 A119017 this_sequence A145675 A093183 A125520

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

EXTENSIONS

More terms from J. O. Shallit.

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Last modified July 4 09:27 EDT 2009. Contains 160562 sequences.


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