A084896 Decimal expansion of agm(1,4), the arithmetic-geometric mean of 1 and 4.

2, 2, 4, 3, 0, 2, 8, 5, 8, 0, 2, 8, 7, 6, 0, 2, 5, 7, 0, 1, 2, 7, 8, 0, 2, 1, 9, 2, 8, 2, 9, 0, 6, 6, 5, 4, 0, 5, 0, 8, 9, 7, 3, 1, 4, 2, 4, 0, 6, 6, 0, 9, 9, 7, 5, 9, 1, 8, 8, 2, 3, 7, 0, 1, 3, 8, 7, 4, 0, 4, 8, 0, 4, 2, 2, 8, 9, 9, 9, 5, 7, 2, 2, 4, 1, 1, 1, 5, 0, 5, 9, 0, 9, 4, 1, 9, 5, 0, 2, 1, 8, 5

Offset: 1

Author

Eric W. Weisstein, Jun 10 2003

Keywords

• nonn
• cons
• easy

Links

• Ivan Panchenko, Table of n, a(n) for n = 1..1000
• Eric Weisstein's World of Mathematics, Arithmetic-Geometric Mean

Crossrefs

Cf. A068521 (agm(1,2)), A084895 (agm(1,3)), A084897 (agm(1,5)).

Programs

Mathematica

RealDigits[ArithmeticGeometricMean[1,4],10,120][[1]] (* Harvey P. Dale, May 25 2014 *)
RealDigits[N[5Pi/(4EllipticK[9/25]), 102]][[1]] (* Jean-François Alcover, Jun 02 2019 *)

PARI

agm(1, 4) \\ Michel Marcus, Jun 02 2019

Formula

2.2430285802876025701278021928290665405089731424066099759188237013874048...