A272526 - OEIS

%I #5 May 02 2016 07:48:34

%S 7,4,3,9,8,5,6,1,7,8,2,8,1,3,4,0,6,2,9,9,4,3,7,9,8,8,5,9,2,0,4,1,0,5,

%T 5,2,2,7,3,7,5,9,9,4,7,5,9,6,4,2,8,3,9,1,7,0,9,2,9,6,9,1,8,5,1,1,9,8,

%U 6,5,7,6,6,4,9,8,2,5,2,3,0,4,4,9,0,9,4,4,7,6,1,2,1,7,0,9,4,4

%N Decimal expansion of s_4, a 4-dimensional Steiner ratio analog.

%D Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 8.6 Steiner Tree Constants, p. 505.

%H D. Z. Du and W. D. Smith , <a href="http://dx.doi.org/10.1006/jcta.1996.0040">Disproofs of Generalized Gilbert-Pollak Conjecture on the Steiner Ratio in Three or More Dimensions</a>, Journal of Combinatorial Theory, Series A Volume 74, Issue 1, April 1996, Pages 115-130

%H Eric Weisstein's MathWorld, <a href="http://mathworld.wolfram.com/SteinerTree.html">Steiner Tree</a>.

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Steiner_tree_problem">Steiner Tree problem</a>

%F Minimal polynomial is 900 s^8 - 1863 s^6 + 2950 s^4 - 1511 s^2 + 164.

%e 0.7439856178281340629943798859204105522737599475964283917092969185...

%t s4 = Root[900 s^8 - 1863 s^6 + 2950 s^4 - 1511 s^2 + 164, s, 4];

%t RealDigits[s4, 10, 98][[1]]

%Y Cf. A010527, A220351, A248411.

%K nonn,cons

%O 0,1

%A _Jean-François Alcover_, May 02 2016