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Decimal expansion of the number snc(2 Pi), where snc is the sine-normal-to-cosine function; see A332500.
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%I #4 Jun 12 2020 00:08:08

%S 5,5,4,4,1,0,0,1,7,3,9,6,4,4,2,5,8,3,5,2,6,9,9,7,4,6,7,8,8,8,5,1,3,2,

%T 3,6,4,3,8,0,9,2,7,0,3,9,8,4,9,4,5,4,1,7,6,9,8,4,2,0,8,5,4,8,8,4,2,3,

%U 4,8,1,5,7,6,8,8,8,7,0,4,0,2,6,5,6,6

%N Decimal expansion of the number snc(2 Pi), where snc is the sine-normal-to-cosine function; see A332500.

%F snc(2 Pi) = 2 Pi + snc(0), where snc(0) = Dottie number (A003957).

%e snc(2 Pi) = 5.544100173964425835269974678885...

%t u = u /. FindRoot[ u + Cos[u] == 2 Pi, {u, 0}, WorkingPrecision -> 150]

%t RealDigits[u][[1]]

%Y Cf. A332500, A003957, A332523 (numerators of convergents), A332524 (denominators of convergents).

%K nonn,cons

%O 1,1

%A _Clark Kimberling_, May 05 2020