A074957 Decimal expansion of the arithmetic-geometric mean (AGM) of Pi and e.

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

Offset: 1

Author

Zak Seidov, Oct 05 2002

Keywords

• nonn
• cons

Examples

			AGM(Pi,e) = 2.926108551572304696665895710170558531...
		

Links

• Eric Weisstein's World of Mathematics, Arithmetic-Geometric Mean.
• Wikipedia, Arithmetic-geometric mean

Crossrefs

Cf. A000796, A001113.

Programs

Maple

evalf(GaussAGM(Pi, exp(1)), 144);  # Alois P. Heinz, Jul 05 2023

Mathematica

RealDigits[ArithmeticGeometricMean[Pi, E], 10, 100][[1]] (* Amiram Eldar, May 31 2021 *)

PARI

agm(exp(1),Pi) \\ Charles R Greathouse IV, Mar 03 2016