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A072977 Increasing partial quotients of w=2*cos(pi/7). +0
1
1, 4, 20, 39, 94, 636, 699, 716, 904, 1374, 1824, 2457, 24007, 32164, 170306, 179545, 198107, 463343, 579913, 910774, 3758763 (list; graph; listen)
OFFSET

1,2

COMMENT

w satisfies w3 - w2 - 2w + 1 = 0 and so is algebraic.

EXAMPLE

w = 1.801937735804838252472204639014890102331838324263714300...

MATHEMATICA

a = ContinuedFraction[2*Cos[Pi/7], 10^6]; b = 0; Do[ If[a[[n]] > b, b = a[[n]]; Print[b]], {n, 1, 10^6 - 1}]

CROSSREFS

Continued fraction: A039921.

Adjacent sequences: A072974 A072975 A072976 this_sequence A072978 A072979 A072980

Sequence in context: A085805 A119413 A044446 this_sequence A163365 A145194 A164924

KEYWORD

cofr,nonn

AUTHOR

Alastair Rucklidge (A.M.Rucklidge(AT)leeds.ac.uk) and Robert G. Wilson v (rgwv(AT)rgwv.com), Aug 13 2002

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Last modified November 8 20:39 EST 2009. Contains 166234 sequences.


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