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%I #19 Aug 21 2023 11:43:30
%S 6,7,4,9,8,1,4,4,2,9,3,0,1,0,4,7,0,3,6,8,8,4,9,5,8,3,1,8,5,1,4,0,0,2,
%T 8,8,9,8,0,2,9,7,7,3,2,2,7,8,0,2,6,6,1,0,7,2,2,7,9,3,8,7,9,2,4,4,6,4,
%U 9,8,1,1,1,3,1,3,2,4,1,3,4,0,5,2,6,3,9,3,7,8,2,5,5,5,1,3,3,7,7,1,0,5,2,4,2,3
%N Decimal expansion of the area of Graham's biggest little hexagon.
%C An algebraic number of degree 10. - _Charles R Greathouse IV_, Jul 11 2020
%H R. L. Graham, <a href="https://www.sciencedirect.com/science/article/pii/0097316575900047">The largest small hexagon</a>, Journal of Combinatorial Theory, Series A, Volume 18, Issue 2 (1975), pp. 165-170.
%H James Grime and Brady Haran, <a href="https://www.youtube.com/watch?v=1kYGbMK1oA4">The Largest Small Hexagon</a>, Numberphile video (2021)
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/GrahamsBiggestLittleHexagon.html">Graham's Biggest Little Hexagon</a>
%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Biggest_little_polygon">Biggest little polygon</a>
%H <a href="/index/Al#algebraic_10">Index entries for algebraic numbers, degree 10</a>
%F Root[11993 - 78488*#1 + 144464*#1^2 + 1232*#1^3 - 221360*#1^4 + 146496*#1^5 + 21056*#1^6 - 30848*#1^7 - 3008*#1^8 + 8192*#1^9 + 4096*#1^10 &, 5, 0]
%e 0.67498144293010470368849583185140028898029773227802661...
%o (PARI) polrootsreal(4096*x^10 + 8192*x^9 - 3008*x^8 - 30848*x^7 + 21056*x^6 + 146496*x^5 - 221360*x^4 + 1232*x^3 + 144464*x^2 - 78488*x + 11993)[5] \\ _Charles R Greathouse IV_, Jul 11 2020
%Y Cf. A111970, A111971.
%K nonn,cons
%O 0,1
%A _Eric W. Weisstein_, Aug 23 2005
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