A272526 Decimal expansion of s_4, a 4-dimensional Steiner ratio analog.

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

Author

Jean-François Alcover, May 02 2016

Keywords

• nonn
• cons

Examples

			0.7439856178281340629943798859204105522737599475964283917092969185...
		

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.
• Wikipedia, Steiner Tree problem

Crossrefs

Cf. A010527, A220351, A248411.

Programs

Mathematica

s4 = Root[900 s^8 - 1863 s^6 + 2950 s^4 - 1511 s^2 + 164, s, 4];
RealDigits[s4, 10, 98][[1]]

Formula

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