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A222481
Continued fraction for cos(1)/(1+cos(1)).
2
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.
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
KEYWORD
nonn,cofr
AUTHOR
Alois P. Heinz, Feb 21 2013
EXTENSIONS
Offset changed by Andrew Howroyd, Jul 03 2024
STATUS
approved