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

1,1

Links

Ivan Panchenko, Table of n, a(n) for n = 1..1000

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

Formula

2.2430285802876025701278021928290665405089731424066099759188237013874048...

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 *)

Prog

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

Crossrefs

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

Sequence in context: A129243 A013551 A252040 * A011388 A349474 A105114

Adjacent sequences: A084893 A084894 A084895 * A084897 A084898 A084899

Keyword

nonn,cons,easy,changed

Author

Eric W. Weisstein, Jun 10 2003

Status

approved