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 A244046 Decimal expansion of the maximal width of a Reuleaux triangle avoiding all vertices of the integer square lattice. 1

%I

%S 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,

%T 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,

%U 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

%N Decimal expansion of the maximal width of a Reuleaux triangle avoiding all vertices of the integer square lattice.

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

%H Eric Weisstein's MathWorld, <a href="http://mathworld.wolfram.com/ReuleauxTriangle.html">Reuleaux Triangle</a>

%H Wikipedia, <a href="http://en.wikipedia.org/wiki/Reuleaux_triangle">Reuleaux Triangle</a>

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

%e 1.54494170037159315418509683847062658...

%t 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

%Y Cf. A060708, A066666, A137615.

%K nonn,cons

%O 1,2

%A _Jean-François Alcover_, Jun 18 2014

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Last modified October 16 11:23 EDT 2019. Contains 328056 sequences. (Running on oeis4.)