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A173170
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a(n) = sin^2((2n-1)*arcsin(sqrt n)) = 1 - sin^2( (2n-1)*arccos(sqrt n)).
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5
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0, 1, 50, 23763, 25421764, 48225038405, 142786923879606, 608447515452613207, 3527836867501829594888, 26710782540478226038759689, 255922222218837615280903143610, 3026917140685147530327256796600411
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OFFSET
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0,3
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LINKS
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Vincenzo Librandi, Table of n, a(n) for n = 0..170
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FORMULA
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a(n) ~ exp(-1) * 2^(4*n-4) * n^(2*n-1). - Vaclav Kotesovec, Apr 05 2016
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MATHEMATICA
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Table[Round[Sin[(2 n - 1) ArcSin[Sqrt[n]]]^2], {n, 0, 20}] (* Artur Jasinski, Feb 11 2010 *)
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CROSSREFS
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Cf. A132592, A146311, A146312, A146313, A173115, A173116 A173121, A173127, A173128, A173129, A173130, A173131, A173133, A173134, A173148, A173151.
Sequence in context: A028465 A252630 A034205 * A146518 A229670 A152514
Adjacent sequences: A173167 A173168 A173169 * A173171 A173172 A173173
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KEYWORD
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nonn
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AUTHOR
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Artur Jasinski, Feb 11 2010
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EXTENSIONS
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Minor edits by Vaclav Kotesovec, Apr 05 2016
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STATUS
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approved
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