A195694 Decimal expansion of arccos(-1/r), where r = (1+sqrt(5))/2 (the golden ratio).

2, 2, 3, 7, 0, 3, 5, 7, 5, 9, 2, 8, 7, 4, 1, 1, 8, 7, 4, 3, 3, 5, 3, 2, 6, 5, 8, 7, 6, 1, 7, 5, 4, 4, 1, 6, 2, 7, 6, 6, 0, 7, 4, 8, 3, 8, 4, 1, 3, 5, 0, 0, 7, 5, 3, 3, 1, 8, 9, 4, 6, 1, 3, 8, 9, 5, 7, 8, 8, 7, 1, 9, 2, 5, 2, 2, 1, 6, 3, 7, 8, 1, 0, 2, 1, 9, 2, 4, 2, 4, 3, 8, 4, 0, 6, 3, 9, 6, 6, 9

Offset: 1

Author

Clark Kimberling, Sep 22 2011

Keywords

• nonn
• cons

Comments

Let c1 and c2 be the constants at A195692 and A195694; then c1+c2 = Pi.

Examples

			arccos(-1/r) = 2.2370357592874118743353265876175441...
		

Links

• Index entries for transcendental numbers

Crossrefs

Cf. A001622, A175288, A195692, A195693.

Programs

Mathematica

(See A195692.)
RealDigits[ArcCos[-1/GoldenRatio],10,120][[1]] (* Harvey P. Dale, Jan 15 2012 *)

PARI

acos(-2/(sqrt(5)+1)) \\ Charles R Greathouse IV, Nov 21 2024