A222481 Continued fraction for cos(1)/(1+cos(1)).

0, 2, 1, 5, 1, 2, 2, 1, 2, 1, 1, 40, 4, 3, 1, 3, 4, 46, 3, 5, 2, 12, 3, 1, 4, 11, 1, 3, 3, 106, 2, 1, 1, 2, 28, 1, 7, 32, 3, 42, 1, 9, 1, 4, 2, 2, 1, 1, 15, 1, 5, 1, 8, 1, 1, 1, 3, 1, 7, 18, 13, 1, 1, 1, 1, 1, 5, 9, 7, 3, 3, 1, 1, 18, 6, 5, 1, 11, 1, 1, 10, 2

Offset

0,2

Comments

Essentially the same as A068115: a(n) = A068115(n) for n != 2.

Links

Table of n, a(n) for n=0..81.

Formula

cos(1)/(1+cos(1)) = 1/(1+1/cos(1)) = 1/(1+sec(1)).

Example

0.35077679479523758155811675...

Maple

numtheory[cfrac](evalf(1/(1+1/cos(1)), 250), 130, 'quotients')[];

Crossrefs

Cf. A222480 (decimal expansion), A222482 (Engel expansion), A049470 (cos(1)), A073448 (1/cos(1)), A068115.

Sequence in context: A157334 A320667 A236313 * A351954 A353577 A200778

Adjacent sequences: A222478 A222479 A222480 * A222482 A222483 A222484

Keyword

nonn,cofr

Author

Alois P. Heinz, Feb 21 2013

Extensions

Offset changed by Andrew Howroyd, Jul 03 2024

Status

approved