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A146313
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a(n) = cosh( (2n - 1)*arcsinh(sqrt(2)) )^2 = 1 - cos( (2n - 1)*arcsin(sqrt(3)) )^2
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25
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3, 243, 23763, 2328483, 228167523, 22358088723, 2190864527283, 214682365584963, 21036680962799043, 2061380051988721203, 201994208413931878803, 19793371044513335401443
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OFFSET
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1,1
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LINKS
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Table of n, a(n) for n=1..12.
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FORMULA
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a(n)=A146312(n)+1
a(n) = sin( (2n -1)*arcsin(sqrt(3)) )^2 = 1 + sinh( (2n-1)*arcsinh(sqrt(2)) )^2 [From Artur Jasinski, Oct 30 2008]
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MAPLE
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A146313 := proc(n) cosh( (2*n - 1)*arcsinh(sqrt(2)) )^2; expand(%) ; simplify(%) ; end proc: # R. J. Mathar, Feb 26 2011
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MATHEMATICA
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Table[Round[N[Cosh[(2 n - 1) ArcSinh[Sqrt[2]]], 300]^2], {n, 1, 50}] (*Artur Jasinski*)
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CROSSREFS
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A146311, A146312
Sequence in context: A024044 A069640 A013778 * A092799 A140163 A157573
Adjacent sequences: A146310 A146311 A146312 * A146314 A146315 A146316
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KEYWORD
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nonn
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AUTHOR
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Artur Jasinski, Oct 29 2008
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STATUS
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approved
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