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

0,1

References

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

Links

Table of n, a(n) for n=0..97.

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

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

Cf. A010527, A220351, A248411.

Sequence in context: A257776 A364488 A065477 * A100041 A193968 A153840

Adjacent sequences: A272523 A272524 A272525 * A272527 A272528 A272529

Keyword

nonn,cons

Author

Jean-François Alcover, May 02 2016

Status

approved