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A164040
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2*alpha^4*e^(Pi/(4*alpha))*(e/2)^(1/4), where alpha is the fine structure constant A003673.
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0
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3, 3, 8, 2, 0, 2, 3, 5, 4, 0, 0
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OFFSET
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39,1
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COMMENTS
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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 = 0.0072973525698 (= A003673, as of today). - M. F. Hasler, Feb 02 2014
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REFERENCES
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Thibault Damour, 'The Theoretical significance of G', Meas. Sci. Technol., 10 467-469 1999
Vincent Icke, 'The force of symmetry', Cambridge University Press, 1995
NIST Physics Laboratory, Constants, Units and Uncertainty, Gaithersburg, MD
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LINKS
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Table of n, a(n) for n=39..49.
NIST Physics Laboratory, Constants
M. A. Thomas, Math Ontological Basis of Quasi Fine-Tuning in Ghc Cosmologies, HAL preprint Id: hal-01232022, 2015.
M. A. Thomas, Number Theoretic Structural Approach to Dimensionless Physics Forms, HAL preprint Id: hal-01580821 [math.NT], 2017.
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FORMULA
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2((1/(alpha))^4 E^((-Pi/4)*(1/(alpha)))(2/E)^(0.25))^-1
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EXAMPLE
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2*0.0072973525698^4*exp(Pi/(4*0.0072973525698))*(e/2)^(1/4) = 3.3820235400* 10^38 (dimensionless)
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MATHEMATICA
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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 *)
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CROSSREFS
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Cf. A161771, A162916
Sequence in context: A165507 A212636 A282255 * A154178 A276800 A212809
Adjacent sequences: A164037 A164038 A164039 * A164041 A164042 A164043
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KEYWORD
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nonn,cons,obsc
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AUTHOR
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Mark A. Thomas, Aug 08 2009
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EXTENSIONS
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Sequence updated to reflect Codata 2010 value; several corrections.
Edited by Joerg Arndt and M. F. Hasler, Feb 02 2014
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STATUS
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approved
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