A166528 Decimal expansion of A060295^2.

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

Author

Mark A. Thomas, Oct 16 2009

Keywords

• nonn
• cons

Comments

Near-integer obtained by squaring Ramanujan's constant e^(Pi*sqrt(163)).

Examples

			exp(Pi*sqrt(163))^2 = 68925893036109279891085639286943768.00000000016373864420923460757232906257...
		

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

Crossrefs

Cf. A166529, A166530, A166531, A166532.

Programs

Mathematica

RealDigits[Exp[Pi Sqrt[163]]^2,10,120][[1]] (* Harvey P. Dale, May 21 2013 *)

PARI

exp(2*Pi*sqrt(163)) \\ Charles R Greathouse IV, Nov 12 2014

Extensions

Edited by N. J. A. Sloane, Oct 18 2009

Example corrected by Harvey P. Dale, May 21 2013