This site is supported by donations to The OEIS Foundation.

 Please make a donation to keep the OEIS running. We are now in our 55th year. In the past year we added 12000 new sequences and reached 8000 citations (which often say "discovered thanks to the OEIS"). We need to raise money to hire someone to manage submissions, which would reduce the load on our editors and speed up editing. Other ways to donate

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A238238 Decimal expansion of the polar angle, in radians, of a cone which makes a golden-ratio cut of the full solid angle. 4
 1, 3, 3, 2, 4, 7, 8, 8, 6, 4, 9, 8, 5, 0, 3, 0, 5, 1, 0, 2, 0, 8, 0, 0, 9, 7, 9, 1, 9, 5, 5, 5, 8, 5, 4, 4, 1, 3, 3, 4, 9, 8, 0, 2, 7, 7, 4, 5, 1, 8, 9, 5, 6, 8, 5, 6, 6, 2, 9, 4, 7, 6, 8, 5, 6, 0, 7, 9, 5, 7, 9, 7, 8, 7, 5, 8, 1, 1, 8, 5, 6, 3, 4, 1, 5, 8, 1 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS The polar angle (or apex angle) of a cone which cuts a fraction f of the full solid angle (i.e., subtends a solid angle of 4*Pi*f steradians) is given by arccos(1-2*f). For a golden cut of the sphere surface by a cone with apex in its center, set f = 1-1/phi, phi being the golden ratio A001622. This value is in radians, its equivalent in degrees is A238239. LINKS Stanislav Sykora, Table of n, a(n) for n = 1..2000 Wikipedia, Solid angle FORMULA arccos(1-2*(1-1/phi)) = arccos(2/phi-1), with phi = A001622. EXAMPLE 1.3324788649850305102080097919555854413349802774518956856629476856... MATHEMATICA RealDigits[ArcCos[2/GoldenRatio  -1], 10, 120][[1]] (* Harvey P. Dale, Jul 05 2019 *) PROG (PARI) acos(4/(1+sqrt(5))-1) CROSSREFS Cf. A001622, A019670, A137914, A238239. Sequence in context: A161173 A050610 A151848 * A117937 A110897 A116644 Adjacent sequences:  A238235 A238236 A238237 * A238239 A238240 A238241 KEYWORD nonn,cons,easy AUTHOR Stanislav Sykora, Feb 20 2014 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified December 8 04:46 EST 2019. Contains 329853 sequences. (Running on oeis4.)