login
This site is supported by donations to The OEIS Foundation.

 

Logo

"Email this user" was broken Aug 14 to 9am Aug 16. If you sent someone a message in this period, please send it again.

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A007541 Incrementally largest terms in the continued fraction for Pi-2 (cf. A001203).
(Formerly M4351)
3
1, 7, 15, 292, 436, 20776, 78629, 179136, 528210, 12996958, 878783625, 5408240597, 5916686112, 9448623833, 9787547328 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

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

REFERENCES

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.

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

PROG

(PARI) allocatemem(4096*10^6);

default(realprecision, 50000);

v = contfrac(Pi-2);

m = 0;

for (i=1, #v, if (v[i] > m, m = v[i]; print1(m, ", "))); \\ Michel Marcus, Aug 05 2017; to get 7 terms

CROSSREFS

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

KEYWORD

nonn

AUTHOR

N. J. A. Sloane

EXTENSIONS

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

a(6) corrected by Bobby Jacobs, Aug 05 2017

STATUS

approved

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

License Agreements, Terms of Use, Privacy Policy .

Last modified August 20 09:31 EDT 2017. Contains 290834 sequences.