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A244046 Decimal expansion of the maximal width of a Reuleaux triangle avoiding all vertices of the integer square lattice. 1
1, 5, 4, 4, 9, 4, 1, 7, 0, 0, 3, 7, 1, 5, 9, 3, 1, 5, 4, 1, 8, 5, 0, 9, 6, 8, 3, 8, 4, 7, 0, 6, 2, 6, 5, 8, 0, 2, 4, 7, 3, 6, 0, 8, 2, 8, 4, 0, 0, 6, 7, 4, 1, 7, 4, 0, 8, 0, 5, 1, 5, 9, 4, 9, 4, 3, 7, 0, 0, 9, 9, 5, 7, 4, 2, 3, 0, 0, 6, 9, 8, 6, 0, 6, 6, 9, 0, 7, 3, 8, 5, 0, 8, 0, 6, 1, 7, 9, 7, 3, 6, 3, 9, 3, 7 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,2

REFERENCES

Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 8.10 Reuleaux triangle constants, p. 515.

LINKS

Table of n, a(n) for n=1..105.

Eric Weisstein's MathWorld, Reuleaux Triangle

Wikipedia, Reuleaux Triangle

FORMULA

Smallest positive root of 4*x^6 - 12*x^5 + x^4 + 22*x^3 - 14*x^2 - 4*x + 4.

EXAMPLE

1.54494170037159315418509683847062658...

MATHEMATICA

w = Root[4*x^6 - 12*x^5 + x^4 + 22*x^3 - 14*x^2 - 4*x + 4, x, 3]; RealDigits[w, 10, 105] // First

CROSSREFS

Cf. A060708, A066666, A137615.

Sequence in context: A232007 A019842 A303270 * A255332 A071419 A291069

Adjacent sequences:  A244043 A244044 A244045 * A244047 A244048 A244049

KEYWORD

nonn,cons

AUTHOR

Jean-Fran├žois Alcover, Jun 18 2014

STATUS

approved

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Last modified August 20 05:25 EDT 2019. Contains 326139 sequences. (Running on oeis4.)