A191220 Decimal expansion of x, where Arithmetic-Geometric Mean of 1 and x = Pi.

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

Offset

1,1

Links

Table of n, a(n) for n=1..110.

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

Adjacent sequences: A191217 A191218 A191219 * A191221 A191222 A191223

Keyword

nonn,cons

Author

Joshua Taylor, May 26 2011

Status

approved