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

1,1

Comments

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

Links

Table of n, a(n) for n=1..100.

Index entries for transcendental numbers

Example

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

Mathematica

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

Prog

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

Crossrefs

Cf. A001622, A175288, A195692, A195693.

Sequence in context: A275487 A096100 A260161 * A021451 A210188 A183442

Adjacent sequences: A195691 A195692 A195693 * A195695 A195696 A195697

Keyword

nonn,cons

Author

Clark Kimberling, Sep 22 2011

Status

approved