A072977 Increasing partial quotients of w = 2*cos(Pi/7).

1, 4, 20, 39, 94, 636, 699, 716, 904, 1374, 1824, 2457, 24007, 32164, 170306, 179545, 198107, 463343, 579913, 910774, 3758763, 3896343, 5800335, 11314629, 13245450, 14422622, 62449915

Offset: 1

Author

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

Keywords

• nonn
• more

Comments

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

Examples

			w = 1.801937735804838252472204639014890102331838324263714300...
		

Crossrefs

Continued fraction: A039921.

Programs

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}]

Extensions

a(22)-a(27) from Robert G. Wilson v, Jun 12 2013.