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A190261 Continued fraction of (1 + sqrt(1 + 2x))/2, where x=sqrt(2). 2
1, 2, 11, 32, 1, 4, 10, 2, 1, 1, 3, 1, 1, 5, 2, 3, 2, 1, 4, 2, 3, 2, 41, 1, 2, 1, 1, 3, 4, 1, 35, 1, 5, 1, 29661, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 5, 2, 2, 2, 1, 1, 1, 5, 15, 2, 1, 1, 1, 2, 7, 1, 1, 1, 13, 1, 1, 1, 1, 20, 2, 1, 2, 1, 1, 1, 1, 1, 4, 1, 1, 1, 1, 3, 14, 1, 8, 2, 1, 1, 1, 1, 2, 1, 3, 2, 3, 1, 8, 2 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

1 followed by A190259.

LINKS

G. C. Greubel, Table of n, a(n) for n = 1..10000

MATHEMATICA

r=2^(1/2);

FromContinuedFraction[{1, r, {1, r}}]

FullSimplify[%]

ContinuedFraction[%, 100]  (* A190261 *)

RealDigits[N[%%, 120]]     (* A190260 *)

N[%%%, 40]

ContinuedFraction[(1+Sqrt[1+2Sqrt[2]])/2, 100] (* Harvey P. Dale, Jan 27 2013 *)

PROG

(PARI) contfrac((1+sqrt(1+2*sqrt(2)))/2) \\ G. C. Greubel, Dec 26 2017

(MAGMA) ContinuedFraction((1+Sqrt(1+2*Sqrt(2)))/2) // G. C. Greubel, Dec 26 2017

CROSSREFS

Cf. A190260, A190259.

Sequence in context: A296733 A087933 A190259 * A000755 A183460 A033994

Adjacent sequences:  A190258 A190259 A190260 * A190262 A190263 A190264

KEYWORD

nonn,cofr

AUTHOR

Clark Kimberling, May 06 2011

STATUS

approved

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Last modified October 21 14:13 EDT 2019. Contains 328301 sequences. (Running on oeis4.)