A083124 Continued fraction expansion of tanh(Pi/2).

0, 1, 11, 14, 4, 1, 1, 1, 3, 1, 295, 4, 4, 1, 5, 17, 2, 8, 2, 15, 3, 1, 1, 1, 5, 54, 4, 1, 2, 1, 1, 16, 2, 2, 2, 5, 1, 1, 2, 1, 82, 1, 6, 1, 1, 1, 1, 3, 1, 1, 4, 1, 3, 3, 1, 5, 1, 1, 1, 282, 1, 5, 1, 1, 1, 1, 2, 10, 2, 1, 39, 1, 1, 5, 2, 1, 6, 4, 1, 22, 1, 1, 6, 1, 3, 5, 3, 1, 2, 9, 1, 3, 6, 23, 1, 1, 1, 14, 2

Offset: 0

Author

N. J. A. Sloane, Jun 02 2003

Keywords

• nonn
• cofr
• easy

References

• J. M. Borwein, D. H. Bailey and R. Girgensohn, Experimentation in Mathematics, A K Peters, Ltd., Natick, MA, 2004. x+357 pp. See p. 11.

Links

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

Crossrefs

Cf. A060402, A084304, A367960 (decimal expansion).

Programs

Maple

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

Mathematica

ContinuedFraction[Tanh[Pi/2], 100] (* Paolo Xausa, Jul 04 2024 *)

PARI

contfrac(tanh(Pi/2)) \\ Michel Marcus, Apr 11 2021