OFFSET
0,1
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..5000
FORMULA
From Peter Bala, Jan 14 2022: (Start)
Equals (1/2)*arccos(3/4) = arctan(sqrt(7)/7).
Equals sqrt(7)*Sum_{n >= 0} 1/((16*n + 8)*(2^n)*binomial(2*n,n)).
Equals sqrt(2)*Sum_{n >= 0} binomial(2*n,n)/((8*n + 4)*32^n). (End)
EXAMPLE
arcsin(sqrt(1/8)) = 0.3613671239067078055891886763206666...
MATHEMATICA
PROG
(PARI) asin(sqrt(1/8)) \\ G. C. Greubel, Nov 18 2017
(Magma) [Arcsin(Sqrt(1/8))]; // G. C. Greubel, Nov 18 2017
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Sep 23 2011
STATUS
approved