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

53,2

Comments

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

References

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

Links

Table of n, a(n) for n=53..157.

Math Overflow, Questions [From Mark A. Thomas, Oct 02 2010]

Eric Weisstein's World of Mathematics, Almost Integer

Wikipedia, Heegner number

Example

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

Mathematica

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

Crossrefs

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

Sequence in context: A199506 A254178 A154803 * A245293 A200018 A019937

Adjacent sequences: A166526 A166527 A166528 * A166530 A166531 A166532

Keyword

nonn,cons

Author

Mark A. Thomas, Oct 16 2009

Extensions

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

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

Status

approved