login
A166528
Decimal expansion of A060295^2.
5
6, 8, 9, 2, 5, 8, 9, 3, 0, 3, 6, 1, 0, 9, 2, 7, 9, 8, 9, 1, 0, 8, 5, 6, 3, 9, 2, 8, 6, 9, 4, 3, 7, 6, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 6, 3, 7, 3, 8, 6, 4, 4, 2, 0, 9, 2, 3, 4, 6, 0, 7, 5, 7, 2, 3, 2, 9, 0, 6, 2, 5, 7, 0, 8, 9, 9, 9, 9, 4, 0, 8, 3, 0, 3, 2, 6, 2, 2, 8, 4, 4, 2, 9, 9, 0, 2, 5, 1, 4, 8, 6, 0, 6, 0
OFFSET
35,1
COMMENTS
Near-integer obtained by squaring Ramanujan's constant e^(Pi*sqrt(163)).
REFERENCES
Henri Cohen, A Course in Computational Algebraic Number Theory, Springer-Verlag Berlin Heidelberg New-York, 1996 pp. 383.
LINKS
Eric Weisstein's World of Mathematics, Almost Integer
Wikipedia, Heegner number
Math Overflow, Questions - Mark A. Thomas, Oct 02 2010
EXAMPLE
exp(Pi*sqrt(163))^2 = 68925893036109279891085639286943768.00000000016373864420923460757232906257...
MATHEMATICA
RealDigits[Exp[Pi Sqrt[163]]^2, 10, 120][[1]] (* Harvey P. Dale, May 21 2013 *)
PROG
(PARI) exp(2*Pi*sqrt(163)) \\ Charles R Greathouse IV, Nov 12 2014
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Mark A. Thomas, Oct 16 2009
EXTENSIONS
Edited by N. J. A. Sloane, Oct 18 2009
Example corrected by Harvey P. Dale, May 21 2013
STATUS
approved