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A188723 Continued fraction of (Pi + sqrt(4 + Pi^2))/2. 1
3, 2, 3, 4, 2, 3, 1, 1, 105, 1, 2, 1, 13, 5, 16, 1, 44, 1, 1, 4, 2, 1, 2, 3, 100, 4, 1, 1, 18, 4, 2, 2, 2, 8, 2, 5, 2, 2, 3, 7, 184, 1, 8, 6, 2, 6, 2, 1, 5, 1, 38, 1, 2, 1, 1, 1, 4, 2, 6, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 1, 2, 1, 2, 3, 8, 1, 1, 2, 1, 3, 1, 2, 1, 10, 1, 6, 1, 3, 1, 1, 1, 1, 2, 2, 1, 7, 1, 11, 1, 6, 1, 2, 13, 35, 1, 5, 2, 2, 1, 1, 2, 8, 2, 6, 2, 3, 1, 1, 2, 5 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Continued fraction of the constant in A188722.

LINKS

Table of n, a(n) for n=1..120.

MAPLE

Digits := 100 ;

(Pi+sqrt(4+Pi^2))/2 ;

evalf(%) ;

numtheory[cfrac](%, 40, 'quotients') ; # R. J. Mathar, Apr 11 2011

MATHEMATICA

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

N[t, 130]

RealDigits[N[t, 130]][[1]]

ContinuedFraction[t, 120]

CROSSREFS

Cf. A000796, A188640, A188722.

Sequence in context: A214435 A215926 A007888 * A077178 A267376 A267380

Adjacent sequences:  A188720 A188721 A188722 * A188724 A188725 A188726

KEYWORD

nonn,cofr

AUTHOR

Clark Kimberling, Apr 09 2011

STATUS

approved

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Last modified May 30 23:14 EDT 2020. Contains 334747 sequences. (Running on oeis4.)