A084897 Decimal expansion of agm(1,5), the arithmetic-geometric mean of 1 and 5.

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

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

2.6040081905309402886964274487250343309270652556376494877484132544556792805685...

Mathematica

RealDigits[ArithmeticGeometricMean[1, 5], 10, 120][[1]] (* _Vincenzo Librandi_, Mar 12 2015 *)
RealDigits[N[3Pi/(2EllipticK[4/9]), 102]][[1]] (* _Jean-François Alcover_, Jun 02 2019 *)

Prog

(PARI) agm(1, 5) \\ _Michel Marcus_, Jun 02 2019

Crossrefs

Cf. A068521 (agm(1,2)), A084895 (agm(1,3)), A084896 (agm(1,4)).

Sequence in context: A016590 A079461 A220233 * A021388 A011040 A274402

Adjacent sequences: A084894 A084895 A084896 * A084898 A084899 A084900

Keyword

nonn,cons,easy

Author

_Eric W. Weisstein_, Jun 10 2003

Status

approved