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A166532 Decimal expansion of A060295^6. 5
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

Table of n, a(n) for n=105..209.

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 - R. J. Mathar, Feb 27 2010

Minor edits by Vaclav Kotesovec, Jul 04 2014

STATUS

approved

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Last modified March 25 01:30 EDT 2017. Contains 284036 sequences.