A190284 Continued fraction of 1+sqrt(1+sqrt(2)).

2, 1, 1, 4, 6, 1, 2, 2, 2, 1, 1, 6, 1, 179, 46, 1, 1, 3, 2, 1, 1, 3, 6, 3, 1, 1, 1, 1, 2, 1, 1, 56, 1, 1, 1, 1, 66, 1, 1, 2, 17, 8, 2, 7, 12, 1, 1, 8, 1, 2, 2, 1, 1, 2, 1, 12, 1, 2, 2, 2, 2, 1, 1, 1, 8, 1, 1, 1, 1, 2, 1, 2, 5, 1, 6, 8, 1, 1, 1, 2, 7, 1, 9, 1, 2, 5, 7, 1, 6, 1, 10, 1, 2, 1, 3, 47, 1, 1, 998, 1

Offset: 1

Author

Clark Kimberling, May 07 2011

Keywords

• nonn
• cofr

Comments

1

Links

• G. C. Greubel, Table of n, a(n) for n = 1..5000

Crossrefs

Cf. A188635, A190283, A190282, A154748.

Programs

Magma

ContinuedFraction(1+Sqrt(1+Sqrt(2))); // G. C. Greubel, Apr 14 2018

Mathematica

FromContinuedFraction[{2, Sqrt[2], {2, r}}]
FullSimplify[%]
ContinuedFraction[%, 100]  (* A190284 *)
RealDigits[N[%%, 120]]     (* A190283 *)

PARI

contfrac(1+sqrt(1+sqrt(2))) \\ G. C. Greubel, Apr 14 2018