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Decimal expansion of circumference of x^2 + 9 y^2 = 9.
1

%I #4 Jun 15 2020 13:39:37

%S 1,3,3,6,4,8,9,3,2,2,0,5,5,5,2,5,8,2,3,0,1,2,9,5,0,2,3,2,5,0,6,0,1,9,

%T 6,2,3,9,4,0,0,9,8,2,6,7,2,3,8,9,1,7,7,1,0,3,2,9,2,9,6,0,3,9,6,4,9,2,

%U 5,8,5,4,1,9,0,4,6,5,6,9,6,0,8,0,2,5

%N Decimal expansion of circumference of x^2 + 9 y^2 = 9.

%F arclength = 4 E(-8), where E = complete elliptic integral.

%e arclength = 13.3648932205552582301295023250601962394009826...

%t s = Integrate[Sqrt[D[ 3 Cos[t], t]^2 + D[Sin[t], t]^2], {t, 0, 2 Pi}]

%t r = N[s, 200]

%t RealDigits[r][[1]]

%Y Cf. A333202, A334849.

%K nonn,cons,easy

%O 1,2

%A _Clark Kimberling_, Jun 15 2020