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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 (list; constant; graph; refs; listen; history; text; internal format)
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: A255168 A257776 A065477 * A100041 A193968 A153840

Adjacent sequences:  A272523 A272524 A272525 * A272527 A272528 A272529

KEYWORD

nonn,cons

AUTHOR

Jean-Fran├žois Alcover, May 02 2016

STATUS

approved

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Last modified September 23 14:40 EDT 2021. Contains 347618 sequences. (Running on oeis4.)