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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A030125 Decimal expansion of Lehmer's constant. 6
5, 9, 2, 6, 3, 2, 7, 1, 8, 2, 0, 1, 6, 3, 6, 1, 9, 7, 1, 0, 4, 0, 7, 8, 6, 0, 4, 9, 9, 5, 7, 0, 1, 4, 6, 9, 0, 8, 4, 2, 7, 5, 4, 0, 7, 1, 9, 7, 1, 6, 1, 0, 7, 1, 0, 9, 9, 5, 6, 2, 6, 0, 8, 1, 5, 8, 2, 4, 7, 3, 5, 2, 3, 6, 4, 1, 6, 0, 0, 0, 8, 5, 1, 0, 6, 6, 4, 7, 8, 4, 2, 9, 7, 1, 0, 1, 2, 5, 7, 0, 5, 1, 1, 8 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

Digits 999 and 1000 should be "48" not "65" as given in the Plouffe links. - Sean A. Irvine, Aug 24 2014

REFERENCES

Steven R. Finch, Mathematical Constants, Cambridge, 2003, pp. 433-434.

LINKS

Simon Plouffe and Sean A. Irvine, Table of n, a(n) for n = 0..2000 [Replaces terms 0..998 from Harry J. Smith.]

Steven R. Finch, Lehmer's Constant [Broken link]

Steven R. Finch, Lehmer's Constant [From the Wayback machine]

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

Simon Plouffe, The Lehmer Constant to 1000 digits

Simon Plouffe, The Lehmer constant to 1000 digits

Eric Weisstein's World of Mathematics, Lehmer's Constant.

EXAMPLE

0.592632718201636197104078604995701469084275407197161...

MATHEMATICA

RealDigits[With[{nn=15}, Cot[Total[Last[#]ArcCot[First[#]]&/@Thread[ {NestList[#^2+#+1&, 0, nn], PadRight[{}, nn+1, {1, -1}]}]]]], 10, 120][[1]] (* Harvey P. Dale, Jan 29 2012 *)

PROG

(PARI) b=0.; 1/tan(suminf(k=1, b=b^2+b+1; (-1)^k*atan(1/b))+Pi/2) \\ Charles R Greathouse IV, Jan 21 2016

CROSSREFS

Cf. A002065, A002794, A002795, A030125.

Cf. A002665 = Continued fraction. - Harry J. Smith, May 14 2009

Sequence in context: A303662 A011494 A214395 * A111698 A216755 A255681

Adjacent sequences:  A030122 A030123 A030124 * A030126 A030127 A030128

KEYWORD

nonn,cons,nice

AUTHOR

Eric W. Weisstein

EXTENSIONS

More terms from David W. Wilson

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
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified August 23 12:02 EDT 2019. Contains 326222 sequences. (Running on oeis4.)