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A236556 Decimal expansion of the steradian solid angle subtended by one square facet of the cuboctahedron. 6
1, 3, 5, 9, 3, 4, 7, 6, 3, 7, 8, 1, 6, 4, 8, 7, 7, 4, 8, 3, 8, 5, 5, 7, 0, 0, 5, 3, 5, 6, 7, 0, 5, 6, 2, 6, 5, 5, 5, 2, 9, 7, 8, 7, 6, 1, 3, 2, 9, 8, 3, 2, 2, 8, 5, 7, 2, 7, 6, 9, 5, 8, 4, 9, 9, 5, 9, 6, 6, 3, 5, 5, 4, 6, 5, 9, 3, 9, 3, 6, 4, 5, 8, 4, 3, 0, 6, 3, 1, 7, 0, 0, 0, 0, 7, 9, 0, 4, 5, 1, 4, 0, 8, 5, 1 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Also the vertex solid angle of a regular octahedron.

LINKS

Stanislav Sykora, Table of n, a(n) for n = 1..2000

Eric Weisstein's World of Mathematics, Cuboctahedron

Eric Weisstein's World of Mathematics,  Spherical Polygon

Wikipedia, Platonic solid

FORMULA

4*arcsin(1/3).

2*Pi - 4*arcsin(2*sqrt(2)/3). - Bradley Klee, Oct 04 2018

8*A236555 + 6*A236556 = 4*Pi. - Bradley Klee, Oct 04 2018

EXAMPLE

1.35934763781648774838557005356705626555297876132983228572769584995966...

PROG

(PARI) 4*asin(1/3)

CROSSREFS

Cf. A236555. Icosidodecahedron: A319881, A319883. Vertex Angles: A019669, A236557, A236558.

Sequence in context: A303772 A200510 A138055 * A189044 A299793 A199612

Adjacent sequences:  A236553 A236554 A236555 * A236557 A236558 A236559

KEYWORD

nonn,cons,easy

AUTHOR

Stanislav Sykora, Jan 28 2014

EXTENSIONS

Definition corrected by Bradley Klee, Oct 04 2018

STATUS

approved

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Last modified December 16 02:17 EST 2018. Contains 318158 sequences. (Running on oeis4.)