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A173170 a(n) = sin^2((2n-1)*arcsin(sqrt n)) = 1 - sin^2( (2n-1)*arccos(sqrt n)). 5

%I

%S 0,1,50,23763,25421764,48225038405,142786923879606,608447515452613207,

%T 3527836867501829594888,26710782540478226038759689,

%U 255922222218837615280903143610,3026917140685147530327256796600411

%N a(n) = sin^2((2n-1)*arcsin(sqrt n)) = 1 - sin^2( (2n-1)*arccos(sqrt n)).

%H Vincenzo Librandi, <a href="/A173170/b173170.txt">Table of n, a(n) for n = 0..170</a>

%F a(n) ~ exp(-1) * 2^(4*n-4) * n^(2*n-1). - _Vaclav Kotesovec_, Apr 05 2016

%t Table[Round[Sin[(2 n - 1) ArcSin[Sqrt[n]]]^2], {n, 0, 20}] (* _Artur Jasinski_, Feb 11 2010 *)

%Y Cf. A132592, A146311, A146312, A146313, A173115, A173116 A173121, A173127, A173128, A173129, A173130, A173131, A173133, A173134, A173148, A173151.

%K nonn

%O 0,3

%A _Artur Jasinski_, Feb 11 2010

%E Minor edits by _Vaclav Kotesovec_, Apr 05 2016

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Last modified March 8 19:11 EST 2021. Contains 341953 sequences. (Running on oeis4.)