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A173170 a(n) = sin^2((2n-1)*arcsin(sqrt n)) = 1 - sin^2( (2n-1)*arccos(sqrt n)). 5
0, 1, 50, 23763, 25421764, 48225038405, 142786923879606, 608447515452613207, 3527836867501829594888, 26710782540478226038759689, 255922222218837615280903143610, 3026917140685147530327256796600411 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..170

FORMULA

a(n) ~ exp(-1) * 2^(4*n-4) * n^(2*n-1). - Vaclav Kotesovec, Apr 05 2016

MATHEMATICA

Table[Round[Sin[(2 n - 1) ArcSin[Sqrt[n]]]^2], {n, 0, 20}] (* Artur Jasinski, Feb 11 2010 *)

CROSSREFS

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

KEYWORD

nonn

AUTHOR

Artur Jasinski, Feb 11 2010

EXTENSIONS

Minor edits by Vaclav Kotesovec, Apr 05 2016

STATUS

approved

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Last modified January 22 13:21 EST 2021. Contains 340362 sequences. (Running on oeis4.)