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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
Eric Weisstein's MathWorld, 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
Sequence in context: A357418 A303270 A340918 * A255332 A071419 A291069
KEYWORD
nonn,cons
AUTHOR
STATUS
approved

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Last modified May 29 00:29 EDT 2024. Contains 372921 sequences. (Running on oeis4.)