A084304 Continued fraction expansion of tanh(Pi^2).

0, 1, 186895766, 8, 1, 11, 2, 3, 5, 8, 2, 2, 1, 19, 2, 23, 3, 1, 3, 1, 4, 2, 1, 1, 1, 2, 2, 25, 1, 19, 1, 1, 1, 6, 6, 2, 11, 1, 5, 2, 11, 1, 3, 1, 2, 1, 5, 1, 2, 7, 15, 4, 1, 7, 24, 1, 1, 1, 18, 2, 2, 25, 6, 4, 1, 1, 1, 2, 1, 2, 2, 2, 40, 1, 3, 3, 2, 2, 2, 16, 1, 361, 1, 2, 1, 4, 1, 13, 1, 5, 2, 1, 5

Offset: 0

Author

Labos Elemer, Jun 04 2003

Keywords

• cofr
• easy
• nonn

Comments

The least term that is larger than a(2) is a(6427449) = 890522226. - Amiram Eldar, Mar 08 2025

Links

• Amiram Eldar, Table of n, a(n) for n = 0..10000

Crossrefs

Cf. A060402, A083124.

Programs

Maple

with(numtheory): c := cfrac (tanh(Pi^2), 300, 'quotients');

Mathematica

ContinuedFraction[Tanh[Pi^2],120] (* Harvey P. Dale, Nov 10 2021 *)

PARI

contfrac(tanh(Pi^2)) \\ Michel Marcus, Apr 05 2015