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A222481 Continued fraction for cos(1)/(1+cos(1)). 2

%I #15 Feb 25 2013 08:59:39

%S 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,

%T 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,

%U 1,1,1,1,5,9,7,3,3,1,1,18,6,5,1,11,1,1,10,2

%N Continued fraction for cos(1)/(1+cos(1)).

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

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

%e 0.35077679479523758155811675...

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

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

%K nonn,cofr

%O 1,2

%A _Alois P. Heinz_, Feb 21 2013

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Last modified June 23 12:51 EDT 2024. Contains 373648 sequences. (Running on oeis4.)