A166529 Decimal expansion of A060295^3.

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

Offset: 53

Author

Mark A. Thomas, Oct 16 2009

Keywords

• nonn
• cons

Comments

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

Examples

			exp(3*Pi*sqrt(163)) =
18095625621654510801615355531263454706630064771074975 +
0.99999999012369367124132765224724197908973084944718563892074288285...
		

References

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

Links

• Math Overflow, Questions [From _Mark A. Thomas_, Oct 02 2010]
• Eric Weisstein's World of Mathematics, Almost Integer
• Wikipedia, Heegner number

Crossrefs

Cf. A166528, A166530, A166531, A166532, A060295.

Programs

Mathematica

RealDigits[Exp[Pi Sqrt[163]]^3,10,120][[1]] (* Harvey P. Dale, Jun 25 2022 *)

Extensions

Edited by N. J. A. Sloane, Oct 17 2009

Previous Mathematica program replaced by Harvey P. Dale, Jun 25 2022