A188927 Continued fraction of sqrt((7+sqrt(13))/6).
1, 3, 28, 1, 2, 2, 42, 1, 1, 1, 4, 2, 2, 5, 3, 1, 6, 12, 1, 9, 1, 2, 14, 2, 1, 3, 1, 16, 3, 2, 1, 1, 1, 1, 2, 34, 1, 3, 5, 1, 2, 2, 1, 27, 1, 1, 4, 3, 1, 3, 1, 16, 1, 7, 2, 15, 1, 30, 1, 78, 1, 2, 1, 6, 5, 1, 1, 5, 1, 393, 3, 13, 2, 1, 2, 1, 5, 1, 7, 1, 31, 2, 1, 3, 1, 24, 1, 1, 5, 1, 2, 1, 2, 1, 4, 6, 10, 1, 10, 8, 1, 12, 73, 1, 2, 2, 1, 17, 1, 1, 1, 24, 1, 1, 3, 14, 1, 1, 1, 4
Offset: 0
Examples
sqrt((7+sqrt(13))/6)=[1,3,28,1,2,2,42,1,1,1,4,2,2,5,...].
Programs
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Mathematica
r = 3^(-1/2); t = (r + (4 + r^2)^(1/2))/2; FullSimplify[t] N[t, 130] RealDigits[N[t, 130]][[1]] ContinuedFraction[t, 120]
Extensions
Offset changed by Andrew Howroyd, Jul 08 2024
Comments