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A243597
Decimal expansion of the fraction of the full solid angle subtended by a cone with the polar angle of 1 radian.
2
2, 2, 9, 8, 4, 8, 8, 4, 7, 0, 6, 5, 9, 3, 0, 1, 4, 1, 2, 9, 9, 5, 3, 1, 6, 9, 6, 2, 7, 8, 5, 1, 1, 6, 9, 8, 1, 3, 3, 8, 4, 4, 7, 8, 9, 6, 9, 1, 0, 3, 8, 8, 8, 6, 1, 6, 4, 9, 5, 1, 3, 7, 2, 3, 0, 9, 4, 4, 9, 8, 0, 2, 6, 1, 2, 7, 6, 4, 1, 1, 7, 7, 4, 1, 0, 2, 4, 0, 7, 1, 9, 5, 6, 4, 0, 8, 4, 5, 5, 3, 2, 8, 2, 1, 4
OFFSET
0,1
COMMENTS
Given a right circular cone with polar angle theta, the fraction of the full solid angle it subtends is (1-cos(theta))/2.
LINKS
Wikipedia, Solid angle
Wikipedia, Cone
FORMULA
(1-cos(1))/2 = a243596/(4*Pi).
EXAMPLE
0.22984884706593014129953169627851169813384478969103888616...
MATHEMATICA
RealDigits[(1-Cos[1])/2, 10, 120][[1]] (* Harvey P. Dale, Apr 14 2019 *)
PROG
(PARI) (1-cos(1))/2
CROSSREFS
Cf. A243596 (solid angle).
Sequence in context: A011149 A212990 A220265 * A021439 A198423 A229116
KEYWORD
nonn,cons,easy
AUTHOR
Stanislav Sykora, Jun 07 2014
STATUS
approved