A195720 Decimal expansion of arccos(sqrt(1/6)) and of arcsin(sqrt(5/6)) and arctan(sqrt(5)).
1, 1, 5, 0, 2, 6, 1, 9, 9, 1, 5, 1, 0, 9, 3, 1, 4, 9, 1, 3, 4, 3, 0, 5, 9, 1, 7, 5, 7, 2, 6, 5, 3, 6, 0, 6, 8, 7, 4, 7, 5, 4, 5, 3, 0, 6, 8, 6, 7, 6, 3, 3, 3, 0, 0, 5, 9, 8, 2, 1, 0, 8, 9, 3, 8, 0, 7, 8, 6, 3, 5, 5, 1, 4, 0, 4, 9, 3, 5, 8, 1, 9, 0, 5, 4, 7, 5, 0, 4, 1, 0, 2, 4, 5, 2, 6, 6, 0, 1, 7
Offset: 1
Examples
arccos(sqrt(1/6)) = 1.150261991510931...
Links
- G. C. Greubel, Table of n, a(n) for n = 1..5000
- Kunle Adegoke, Infinite arctangent sums involving Fibonacci and Lucas numbers, arXiv:1603.08097 [math.NT], 2016.
- Index entries for transcendental numbers
Programs
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Magma
[Arccos(Sqrt(1/6))]; // G. C. Greubel, Nov 23 2017
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Mathematica
r = Sqrt[1/6]; RealDigits[ArcCos[r], 10, 100][[1]]
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PARI
atan(sqrt(5)) \\ Michel Marcus, Mar 29 2016