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A222480 Decimal expansion of cos(1)/(1+cos(1)). 3
3, 5, 0, 7, 7, 6, 7, 9, 4, 7, 9, 5, 2, 3, 7, 5, 8, 1, 5, 5, 8, 1, 1, 6, 7, 5, 0, 5, 7, 2, 8, 2, 0, 1, 7, 1, 1, 0, 3, 8, 5, 7, 2, 3, 8, 9, 2, 2, 5, 4, 9, 7, 9, 7, 6, 4, 3, 9, 9, 4, 8, 4, 2, 1, 4, 8, 4, 7, 2, 6, 5, 0, 7, 8, 7, 0, 9, 7, 9, 0, 9, 0, 8, 9, 3, 4, 4, 0, 1, 1, 0, 7, 4, 1, 8, 8, 7, 3, 1, 1, 5, 0, 8, 1, 2, 7, 9, 2, 4, 2, 2, 5, 0, 1, 4, 1, 6, 3, 2, 8, 6, 2 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

By the Lindemann-Weierstrass theorem, this constant is transcendental. - Charles R Greathouse IV, May 13 2019

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..10000

Index entries for transcendental numbers

FORMULA

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

EXAMPLE

0.35077679479523758155811675...

MAPLE

s:= convert(evalf(1/(1+1/cos(1)), 140), string):

seq(parse(s[n+2]), n=0..122);

PROG

(PARI) 1/(1+1/cos(1)) \\ Charles R Greathouse IV, May 13 2019

CROSSREFS

Cf. A222481 (continued fraction), A222482 (Engel expansion), A049470 (cos(1)), A073448 (1/cos(1)).

Sequence in context: A094771 A245673 A021885 * A229984 A021289 A200480

Adjacent sequences:  A222477 A222478 A222479 * A222481 A222482 A222483

KEYWORD

nonn,cons

AUTHOR

Alois P. Heinz, Feb 21 2013

STATUS

approved

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Last modified November 18 07:22 EST 2019. Contains 329252 sequences. (Running on oeis4.)