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A189090 Continued fraction of Pi + sqrt(Pi^2 - 1). 3
6, 8, 2, 1, 6, 1, 1, 1, 1, 1, 1, 1, 1, 2, 6, 1, 14, 2, 1, 6, 3, 1, 1, 2, 3, 7, 1, 1, 3, 2, 2, 1, 3, 10, 1, 1, 4, 3, 3, 10, 1, 2, 2, 18, 3, 77, 1, 1, 18, 1, 2, 2, 4, 1, 2, 8, 1, 4, 1, 44, 1, 28, 1, 4, 1, 1, 2, 116, 1, 1, 2, 2, 1, 5, 4, 5, 27, 4, 1, 3, 1, 3, 5, 1, 2, 2, 1, 16, 1, 3, 1, 5, 2, 1, 1, 25, 3, 1, 1, 17, 1, 5, 3, 1, 2, 1, 4, 12, 4, 7, 42, 19, 1, 2, 23, 1, 3, 2, 1, 4 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Charles R Greathouse IV, Table of n, a(n) for n = 0..10000

MATHEMATICA

r = 2*Pi; t = (r + (-4 + r^2)^(1/2))/2; FullSimplify[t]

N[t, 130]

RealDigits[N[t, 130]][[1]] (*A189089*)

ContinuedFraction[t, 120]  (*A189090*)

PROG

(PARI) contfrac(Pi+sqrt(Pi^2-1)) \\ Charles R Greathouse IV, Jul 29 2011

CROSSREFS

Cf. A189089, A189088.

Sequence in context: A246845 A214369 A242769 * A075549 A196617 A021860

Adjacent sequences:  A189087 A189088 A189089 * A189091 A189092 A189093

KEYWORD

nonn,cofr

AUTHOR

Clark Kimberling, Apr 16 2011

STATUS

approved

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Last modified May 9 04:40 EDT 2021. Contains 343687 sequences. (Running on oeis4.)