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%I #14 Aug 21 2023 12:16:26
%S 3,1,0,5,8,2,8,5,4,1,2,3,0,2,4,9,1,4,8,1,8,6,7,8,6,0,5,1,4,8,8,5,7,9,
%T 9,4,0,1,8,8,8,2,6,8,1,5,8,3,9,1,6,6,1,6,5,7,6,8,0,3,8,4,8,7,7,8,0,6,
%U 8,3,6,9,6,9,8,5,6,2,3,9,6,3,0,6,8,4,1,5,6,9,6,3,3,0,9,9,5,9,8,6,2,5,0,7,4
%N Decimal expansion of 12*sin(Pi/12).
%C The ratio of the perimeter of a regular 12-gon (dodecagon) to its diameter (greatest diagonal).
%C A quartic integer: the least positive root of x^4 - 144x^2 + 1296.
%H <a href="/index/Al#algebraic_04">Index entries for algebraic numbers, degree 4</a>
%F 12*A019824.
%e 3.105828541230249148186786051488579940188826815839166165768038487780683696...
%t First@ RealDigits@ N[12 Sin[Pi/12], 120] (* _Michael De Vlieger_, Feb 05 2017 *)
%o (PARI) 12*sin(Pi/12)
%o (PARI) polrootsreal(x^4-144*x^2+1296)[3] \\ _Charles R Greathouse IV_, Feb 05 2017
%Y Cf. For other n-gons: A010466 (n=4), 10*A019827 (n=5, 10), A280533 (n=7), A280585 (n=8), A280633 (n=9), A280725 (n=11).
%K nonn,cons
%O 1,1
%A _Rick L. Shepherd_, Jan 08 2017
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