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A309893 Decimal expansion of AGM(1, sqrt(3)/2). 1
9, 3, 1, 8, 0, 8, 3, 9, 1, 6, 2, 2, 4, 4, 8, 2, 7, 1, 1, 7, 7, 8, 4, 4, 5, 1, 5, 5, 1, 2, 1, 3, 5, 2, 9, 7, 5, 7, 8, 7, 6, 6, 4, 2, 8, 4, 1, 3, 4, 2, 6, 8, 6, 1, 1, 1, 0, 2, 2, 0, 6, 1, 3, 4, 8, 9, 1, 6, 2, 8, 9, 7, 2, 8 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..73.

FORMULA

AGM(1, sin(Pi/3)).

EXAMPLE

0.931808391622448271177844...

MATHEMATICA

RealDigits[ArithmeticGeometricMean[1, Sqrt[3]/2], 10, 100][[1]] (* Amiram Eldar, Aug 21 2019 *)

PROG

(Python 3)

import decimal

prec = int(input('Precision: '))

decimal.getcontext().prec = prec

D = decimal.Decimal

def agm(a, b):

    for x in range(prec):

        a, b = (a + b) / 2, (a * b).sqrt()

    return a

print(agm(1, D(3).sqrt()/2))

(PARI) agm(1, sqrt(3)/2) \\ Michel Marcus, Aug 22 2019

(SageMath)

RealField(300)(1.0).agm(sqrt(3)/2) # Peter Luschny, Aug 22 2019

CROSSREFS

Cf. A053004, A014549, A068521.

Sequence in context: A081813 A197003 A048799 * A188887 A250091 A199152

Adjacent sequences:  A309890 A309891 A309892 * A309894 A309895 A309896

KEYWORD

nonn,cons

AUTHOR

Daniel Hoyt, Aug 21 2019

STATUS

approved

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Last modified January 18 16:27 EST 2020. Contains 331011 sequences. (Running on oeis4.)