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A272526
Decimal expansion of s_4, a 4-dimensional Steiner ratio analog.
0
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, 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, 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
OFFSET
0,1
REFERENCES
Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 8.6 Steiner Tree Constants, p. 505.
LINKS
D. Z. Du and W. D. Smith , Disproofs of Generalized Gilbert-Pollak Conjecture on the Steiner Ratio in Three or More Dimensions, Journal of Combinatorial Theory, Series A Volume 74, Issue 1, April 1996, Pages 115-130
Eric Weisstein's MathWorld, Steiner Tree.
FORMULA
Minimal polynomial is 900 s^8 - 1863 s^6 + 2950 s^4 - 1511 s^2 + 164.
EXAMPLE
0.7439856178281340629943798859204105522737599475964283917092969185...
MATHEMATICA
s4 = Root[900 s^8 - 1863 s^6 + 2950 s^4 - 1511 s^2 + 164, s, 4];
RealDigits[s4, 10, 98][[1]]
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
STATUS
approved