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A076392 Increasing partial quotients of the continued fraction for agm(1,i)/(1+i). 2
0, 1, 2, 42, 61, 88, 238, 254, 288, 347, 575, 4034, 9853, 21798, 49736, 108435, 109003, 181562, 1035352, 1955976, 6950275, 30712753, 41463747, 45117343, 112401242, 116579541 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

LINKS

Table of n, a(n) for n=1..26.

Eric Weisstein's World of Mathematics, Arithmetic-Geometric Mean

Wolfram Research, Arithmetic-Geometric Mean

EXAMPLE

A076391(1) = 0

A076391(2) = 1

A076391(4) = 2

A076391(5) = 42

A076391(96) = 61

A076391(121) = 88

A076391(310) = 238

A076391(461) = 254

A076391(540) = 288

A076391(627) = 347

A076391(699) = 575

A076391(1136) = 4034

A076391(2986) = 9853

A076391(4172) = 21798

A076391(16727) = 49736

A076391(39201) = 108435

A076391(110180) = 109003

A076391(130606) = 181562

A076391(506314) = 1035352

A076391(512390) = 1955976

A076391(1248836) = 6950275

A076391(1990391) = 30712753

A076391(2528055) = 41463747

A076391(4853400) = 45117343

A076391(7427594) = 112401242

A076391(96166990) = 116579541

MATHEMATICA

a = ContinuedFraction[ Chop[ N[ ArithmeticGeometricMean[1, I]/(1 + I), 10^4]]]; b = 0; Do[ If[ a[[n]] > b, Print[a[[n]]]; b = a[[n]]], {n, 1, 10^4}]

CROSSREFS

Cf. A076390 & A076391.

Sequence in context: A076391 A348773 A130201 * A291173 A048373 A066563

Adjacent sequences:  A076389 A076390 A076391 * A076393 A076394 A076395

KEYWORD

nonn,more

AUTHOR

Robert G. Wilson v, Oct 09 2002

EXTENSIONS

a(21)-a(26) from Vaclav Kotesovec, Oct 03 2019

STATUS

approved

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Last modified September 28 04:28 EDT 2022. Contains 357063 sequences. (Running on oeis4.)