

A164040


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


0



3, 3, 8, 2, 0, 2, 3, 5, 4, 0, 0
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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 protonicneutronic degenerate matter in a spherical gravitationally collapsing system.
The sequence data corresponds to the Codata 2010 value alpha = 0.0072973525698 (= A003673, as of today).  M. F. Hasler, Feb 02 2014


REFERENCES

Vincent Icke, The force of symmetry, Cambridge University Press, 1995
NIST Physics Laboratory, Constants, Units and Uncertainty, Gaithersburg, MD


LINKS

Table of n, a(n) for n=39..49.
Thibault Damour, The Theoretical significance of G, Meas. Sci. Technol., 10, 467469 (1999), arXiv:grqc/9901046, 1999.
NIST Physics Laboratory, Constants


FORMULA

2((1/(alpha))^4 E^((Pi/4)*(1/(alpha)))(2/E)^(0.25))^1


EXAMPLE

2*0.0072973525698^4*exp(Pi/(4*0.0072973525698))*(e/2)^(1/4) = 3.3820235400* 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



