A074952 Continued fraction for sqrt((Pi^2 + e^2)/2).

2, 1, 15, 54, 15, 1, 2, 2, 1, 2, 19, 3, 2, 1, 1, 19, 1, 3, 2, 4, 1, 5, 1, 1, 1, 1, 5, 8, 2, 1, 1, 2, 3, 1, 1, 2, 3, 1, 2, 9, 2, 3, 18, 5, 63, 2, 1, 1, 4, 13, 3, 10, 1, 5, 1, 20, 1, 6, 1, 38, 2, 1, 4, 57, 1, 8, 12, 9, 2, 1, 2, 1, 1, 4, 10, 1, 1, 1, 15, 2, 4, 1, 1, 1, 1, 9, 2, 2, 3, 54, 1, 39, 1, 1, 5

Offset: 0

Author

Zak Seidov, Oct 05 2002

Keywords

• nonn
• cofr

Comments

Curiously enough sqrt((Pi^2 + e^2)/2) = 2.937572169 is roughly the distance (in AU) from the Sun of the asteroid 407 Arachne. - Zak Seidov, Oct 03 2013

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..999

Crossrefs

Cf. A074948 (decimal expansion).

Programs

Mathematica

ContinuedFraction[Sqrt[(E^2 + Pi^2)/2], 70] (* Zak Seidov, Oct 03 2013 *)

PARI

contfrac(sqrt((Pi^2+exp(1)^2)/2)) \\ Michel Marcus, Oct 03 2013

Extensions

Corrected and edited by Zak Seidov, Oct 03 2013

Offset changed by Andrew Howroyd, Aug 07 2024