A166532 Decimal expansion of A060295^6.

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

Offset: 105

Author

Mark A. Thomas, Oct 16 2009

Keywords

• nonn
• cons

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.

Examples

			327451666639079200503292535866541250265248788274691526825971156\
747731856100971255480468836963064283775072.000097175254162592084120177\
65659310106524359922985819691442056333282681...
		

References

• Henri Cohen, A Course in Computational Algebraic Number Theory, 3., corr. print., 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

Crossrefs

Cf. A166528, A166529, A166530, A166531.

Programs

Mathematica

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

PARI

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

Formula

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

Extensions

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

Minor edits by Vaclav Kotesovec, Jul 04 2014