%I M2606 #74 Oct 13 2022 22:31:48

%S 1,3,7,0,3,5,9,9,9

%N Decimal expansion of reciprocal of fine-structure constant alpha.

%C The fine-structure "constant" actually isn't a constant, it depends on the energy at which it is measured: Its value is known to approach 1/128 at interaction energies above 80 GeV. For other considerations, e.g., whether the value of the fine-structure constant differs by location and over time, see the Wikipedia article or other links. - _M. F. Hasler_, Oct 30 2013

%D John Barrow, The Constants of Nature, 367 pp., Jonathan Cape, 2002.

%D K. R. Lang, Astrophysical Data: Planets and Stars, Springer-Verlag, NY, 1991.

%D Martin J. Rees, Just Six Numbers: the deep forces that shape the universe, Phoenix, 1999.

%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

%H E. R. Cohen and B. N. Taylor, <a href="http://dx.doi.org/10.1103/RevModPhys.59.1121">The 1986 adjustment of the fundamental physical constants</a>, Rev. Modern Phys., 59 (1987), 1121-1148.

%H Morel, L., Yao, Z., Cladé, P. et al. <a href="https://doi.org/10.1038/s41586-020-2964-7">Determination of the fine-structure constant with an accuracy of 81 parts per trillion</a>. Nature 588, 61-65 (2020). doi:10.1038/s41586-020-2964-7

%H Robert P. Munafo, <a href="http://www.mrob.com/pub/math/numbers-9.html"> Notable Properties of Specific Numbers</a>.

%H NIST, <a href="http://physics.nist.gov/cgi-bin/cuu/Value?alphinv">inverse fine-structure constant</a>

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Fine_structure_constant">Fine-structure constant</a>

%F 1/alpha = 1/A003673.

%F 1/alpha = c/V_n1 = A003678/A081800. - _Omar E. Pol_, Mar 11 2018

%e 1/alpha = 137.035999206(11) [Morel et al., 2020]

%Y Cf. A003673, A082726.

%K cons,nonn

%O 3,2

%A _N. J. A. Sloane_, _Mira Bernstein_

%E Updated May 20 2003

%E Updated by _Omar E. Pol_, Aug 09 2009

%E Updated by _Raphie Frank_, Dec 13 2012

%E Updated by _Arkadiusz Wesolowski_, Feb 08 2016

%E Updated by _Rémy Sigrist_, Dec 05 2020

%E Dropped the digits that could change with 1 standard error variation of the value provided by CODATA - _Andrey Zabolotskiy_, Dec 12 2020