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

 

Logo

Annual appeal: Please make a donation to keep the OEIS running! Over 6000 articles have referenced us, often saying "we discovered this result with the help of the OEIS".
Other ways to donate

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A166532 Decimal expansion of A060295^6. 6
3, 2, 7, 4, 5, 1, 6, 6, 6, 6, 3, 9, 0, 7, 9, 2, 0, 0, 5, 0, 3, 2, 9, 2, 5, 3, 5, 8, 6, 6, 5, 4, 1, 2, 5, 0, 2, 6, 5, 2, 4, 8, 7, 8, 8, 2, 7, 4, 6, 9, 1, 5, 2, 6, 8, 2, 5, 9, 7, 1, 1, 5, 6, 7, 4, 7, 7, 3, 1, 8, 5, 6, 1, 0, 0, 9, 7, 1, 2, 5, 5, 4, 8, 0, 4, 6, 8, 8, 3, 6, 9, 6, 3, 0, 6, 4, 2, 8, 3, 7, 7, 5, 0, 7, 2 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

105,1

COMMENTS

A large near integer obtained by taking the Ramanujan constant e^(Pi*sqrt(163)) to the sixth power. The constants for even higher powers are in general no longer near integers.

REFERENCES

Henri Cohen, A Course in Computational Algebraic Number Theory, Springer-Verlag Berlin Heidelberg New-York 1996 pp.383

LINKS

G. C. Greubel, Table of n, a(n) for n = 105..10000

Math Overflow, Questions

Eric Weisstein, Almost Integer, MathWorld

Wikipedia, Heegner number

FORMULA

Equals exp(6*Pi*sqrt(163)) = A166528^3 = A166529^2.

EXAMPLE

327451666639079200503292535866541250265248788274691526825971156\

747731856100971255480468836963064283775072.000097175254162592084120177\

65659310106524359922985819691442056333282681...

MATHEMATICA

RealDigits[Exp[Pi Sqrt[163]]^6, 10, 120][[1]] (* Harvey P. Dale, Nov 27 2011 *)

PROG

(PARI) exp(6*sqrt(163)*Pi) \\ Charles R Greathouse IV, Nov 05 2014

CROSSREFS

Cf. A166528, A166529, A166530, A166531.

Sequence in context: A060451 A220291 A129187 * A135542 A130109 A153151

Adjacent sequences:  A166529 A166530 A166531 * A166533 A166534 A166535

KEYWORD

nonn,cons

AUTHOR

Mark A. Thomas, Oct 16 2009

EXTENSIONS

Formula edited and connected to other powers by R. J. Mathar, Feb 27 2010

Minor edits by Vaclav Kotesovec, Jul 04 2014

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 November 18 09:07 EST 2017. Contains 294873 sequences.