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A166532 Decimal expansion of A060295^6.

%I A166532 #31 Feb 16 2025 08:33:11
%S A166532 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,
%T A166532 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,
%U A166532 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
%N A166532 Decimal expansion of A060295^6.
%C A166532 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.
%D A166532 Henri Cohen, A Course in Computational Algebraic Number Theory, 3., corr. print., Springer-Verlag Berlin Heidelberg New York, 1996 pp. 383.
%H A166532 G. C. Greubel, <a href="/A166532/b166532.txt">Table of n, a(n) for n = 105..10000</a>
%H A166532 Math Overflow, <a href="http://mathoverflow.net/questions/4775/why-are-powers-of-exppisqrt163-almost-integers">Questions</a>
%H A166532 Eric Weisstein, <a href="https://mathworld.wolfram.com/AlmostInteger.html">Almost Integer</a>, MathWorld
%H A166532 Wikipedia, <a href="http://en.wikipedia.org/wiki/Heegner_number">Heegner number</a>
%F A166532 Equals exp(6*Pi*sqrt(163)) = A166528^3 = A166529^2.
%e A166532 327451666639079200503292535866541250265248788274691526825971156\
%e A166532 747731856100971255480468836963064283775072.000097175254162592084120177\
%e A166532 65659310106524359922985819691442056333282681...
%t A166532 RealDigits[Exp[Pi Sqrt[163]]^6,10,120][[1]] (* _Harvey P. Dale_, Nov 27 2011 *)
%o A166532 (PARI) exp(6*sqrt(163)*Pi) \\ _Charles R Greathouse IV_, Nov 05 2014
%Y A166532 Cf. A166528, A166529, A166530, A166531.
%K A166532 nonn,cons
%O A166532 105,1
%A A166532 _Mark A. Thomas_, Oct 16 2009
%E A166532 Formula edited and connected to other powers by _R. J. Mathar_, Feb 27 2010
%E A166532 Minor edits by _Vaclav Kotesovec_, Jul 04 2014