This site is supported by donations to The OEIS Foundation.



Annual Appeal: Please make a donation (tax deductible in USA) to keep the OEIS running. Over 4500 articles have referenced us, often saying "we would not have discovered this result without the OEIS".

(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A007541 Incrementally largest terms in the continued fraction for Pi-2 (cf. A001203).
(Formerly M4351)
1, 7, 15, 292, 436, 20766, 78629, 179136, 528210, 12996958, 878783625, 5408240597, 5916686112, 9448623833, 9787547328 (list; graph; refs; listen; history; text; internal format)



No larger term in the first 10,672,905,501 terms of the c.f. - Eric W. Weisstein, Jul 18 2013


R. W. Gosper, Jr., Table of the simple continued fraction for pi and the derived decimal approximation, Math. Comp., 31 (1977), 1044.

R. W. Gosper, personal communication.

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

See A001203 for many additional references and links.


Table of n, a(n) for n=1..15.

H. Havermann, Simple Continued Fraction for Pi [a 483 MB file containing 180 million terms]

Eric Weisstein's World of Mathematics, Pi

Eric Weisstein's World of Mathematics, Pi Continued Fraction

Index entries for sequences related to the number Pi


Cf. A001203, A000796, A033090.

Apart from initial term, same as A033089.

Sequence in context: A042725 A041096 A248275 * A087485 A156377 A069526

Adjacent sequences:  A007538 A007539 A007540 * A007542 A007543 A007544




N. J. A. Sloane


Corrected (missing a(9) added) by Eric W. Weisstein, Dec 08 2010

a(12) from Eric W. Weisstein, Dec 08 2010

a(13) from Eric W. Weisstein, Sep 16 2011

a(14) from Eric W. Weisstein, Sep 17 2011

a(15) from Eric W. Weisstein, Jul 18 2013



Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

Content is available under The OEIS End-User License Agreement .

Last modified December 1 22:15 EST 2015. Contains 264709 sequences.