

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
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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, SpringerVerlag Berlin Heidelberg NewYork 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



