A166531 - OEIS

%I #17 Dec 14 2019 08:20:08

%S 1,2,4,7,2,5,7,1,5,6,0,1,9,6,3,7,3,0,4,8,5,6,1,0,7,5,2,0,0,1,8,0,7,4,

%T 5,5,2,5,6,6,8,2,4,5,8,5,8,6,2,9,9,5,2,7,2,1,7,3,3,6,8,8,1,5,7,9,4,0,

%U 8,5,4,9,5,7,9,2,2,9,9,6,2,1,0,9,3,7,4,3,9,9,9,9,9,3,6,5,4,1,8,7,4,6,8,9,7

%N Decimal expansion of A060295^5.

%C A large near-integer obtained by taking the Ramanujan constant e^(Pi*sqrt(163)) to the fifth power.

%D Henri Cohen, A Course in Computational Algebraic Number Theory, 3., corr. print., Springer-Verlag Berlin Heidelberg New York, 1996 pp. 383.

%H Math Overflow, <a href="http://mathoverflow.net/questions/4775/why-are-powers-of-exppisqrt163-almost-integers">Questions</a> [From _Mark A. Thomas_, Oct 02 2010]

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/AlmostInteger.html">Almost Integer</a>

%H Wikipedia, <a href="http://en.wikipedia.org/wiki/Heegner_number">Heegner number</a>

%F Equals exp(5*Pi*sqrt(163)) = A166529*A166528.

%e Equals 1247257156019637304856107520018074552566824585862995272173368815\

%e 794085495792299621093743.99999365418746...

%t Exp[Pi Sqrt[163]]^5

%Y Cf. A166528, A166529, A166530, A166532.

%K nonn,cons

%O 88,2

%A _Mark A. Thomas_, Oct 16 2009

%E Keyword:cons added by _R. J. Mathar_, Feb 27 2010