A222480 Decimal expansion of cos(1)/(1+cos(1)).

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

Offset: 0

Author

Alois P. Heinz, Feb 21 2013

Keywords

• nonn
• cons

Comments

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

Examples

			0.35077679479523758155811675...
		

Links

• Alois P. Heinz, Table of n, a(n) for n = 0..10000
• Index entries for transcendental numbers

Crossrefs

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

Programs

Maple

s:= convert(evalf(1/(1+1/cos(1)), 140), string):
seq(parse(s[n+2]), n=0..122);

PARI

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

Formula

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