%I #16 Sep 08 2022 08:46:20
%S 0,0,0,0,5,3,2,5,0,9,7,1,8,3,0,2,3,5,9,0,1,8,0,5,2,0,7,9,4,5,0,4,4,9,
%T 9,7,0,7,1,1,9,6,5,4,9,3,3,7,0,2,5,4,0,0,7,1,3,5,6,3,0,2,2,5,2,5,1,6,
%U 1,0,8,4,1,8,9,7,8,6,4,6,3,6,0,2,9,6,0,7,5,4,0,3,3,7,6,1,1,1,6,1,4,0,3,6,9
%N Decimal expansion of 1/18779.
%C The value of the fine-structure constant is given approximately by the square root of this constant.
%C Also an approximate value of the classical electron radius, expressed in atomic units.
%C Briddell noted that the integer 18779 can be derived from the Sierpinski triangle (see the Briddell's paper, page 60).
%H Charles Donald Briddell, <a href="http://worldnpa.org/abstracts/abstracts_5246.pdf">The Meaning of Structure: The Structural Approach to Understanding Nature</a>, Proceedings of the NPA, Volume 7, pp. 53-61, 2010.
%H Wikipedia, <a href="http://en.wikipedia.org/wiki/Fine_Structure_Constant">Fine-structure constant</a>
%e 0.00005325097183023590180520794504499707119654933702540071356302252516...
%o (Magma) n:=1/18779; [0, 0, 0, 0] cat Reverse(Intseq(Floor(10^105*n)));
%o (PARI) { x=1/18779*10; for(n=1, 100, d=floor(x); x=(x-d)*10; print1(d, ", ")) } \\ _Felix Fröhlich_, Nov 02 2017
%Y Cf. A003673, A005600, A021141, A254277.
%K nonn,cons,easy
%O 0,5
%A _Arkadiusz Wesolowski_, Nov 02 2017
|