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A191220 Decimal expansion of x, where Arithmetic-Geometric Mean of 1 and x = Pi 1
6, 5, 6, 1, 7, 6, 3, 4, 3, 5, 5, 8, 6, 8, 3, 5, 3, 5, 9, 9, 1, 7, 8, 0, 0, 1, 5, 7, 8, 1, 5, 2, 3, 0, 3, 9, 0, 8, 9, 0, 4, 7, 9, 0, 4, 2, 8, 0, 0, 6, 8, 6, 5, 5, 1, 3, 1, 9, 2, 4, 4, 8, 6, 0, 3, 0, 5, 5, 2, 9, 1, 4, 0, 1, 5, 3, 7, 5, 7, 7, 9, 4, 3, 5, 3, 3, 0, 0, 6, 9, 0, 8, 9, 9, 6, 9, 7, 1, 5, 6, 4, 8, 3, 3, 9, 5, 9, 8, 4, 7 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET
1,1
LINKS
MATHEMATICA
SetPrecision[
Nest[((x - (ArithmeticGeometricMean[1, x] - Pi)/
D[ArithmeticGeometricMean[1, x] - Pi, x]) /. x -> #1) &, 6,
5], 50]
PROG
(PARI) \p 120
solve(x=5, 10, agm(x, 1)-Pi)
CROSSREFS
Sequence in context: A019850 A185273 A330065 * A356793 A246673 A220190
KEYWORD
nonn,cons
AUTHOR
Joshua Taylor, May 26 2011
STATUS
approved

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Last modified March 29 11:14 EDT 2024. Contains 371278 sequences. (Running on oeis4.)