A164040 Decimal expansion of 2*alpha^4*e^(Pi/(4*alpha))*(e/2)^(1/4), where alpha is the fine structure constant A003673.

3, 3, 8, 2, 0, 2, 3

Offset

39,1

Comments

The geometric mean of a large N value in Planck square mass units in the midpoint isospin symmetry transition where exists superposition of protonic-neutronic degenerate matter in a spherical gravitationally collapsing system.

The sequence data corresponds to the Codata 2010 value alpha = 0.0072973525..., as of today (= A003673). - M. F. Hasler, Feb 02 2014

References

Vincent Icke, The force of symmetry, Cambridge University Press, 1995.

Links

Table of n, a(n) for n=39..45.

Thibault Damour, The Theoretical significance of G, Meas. Sci. Technol., 10, 467-469 (1999), arXiv:gr-qc/9901046, 1999.

NIST Physics Laboratory, Constants

NIST Physics Laboratory, Constants, Units and Uncertainty, Gaithersburg, MD.

Example

2*0.0072973525...^4*exp(Pi/(4*0.0072973525...))*(e/2)^(1/4) = 3.382023...*10^38 (dimensionless).

Mathematica

With[{alpha = UnitConvert[Quantity["FineStructureConstant"]]}, First@ RealDigits[2 ((1/(alpha))^4 E^(-Pi/(4 alpha)) (2/E)^(1/4))^-1]] (* Michael De Vlieger, Feb 19 2018 *)

Crossrefs

Cf. A161771, A162916.

Sequence in context: A165507 A212636 A282255 * A154178 A276800 A332684

Adjacent sequences: A164037 A164038 A164039 * A164041 A164042 A164043

Keyword

nonn,cons,obsc

Author

Mark A. Thomas, Aug 08 2009

Extensions

Sequence updated to reflect Codata 2010 value; several corrections.

Edited by Joerg Arndt and M. F. Hasler, Feb 02 2014

Status

approved