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Search: id:A146313
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| A146313 |
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a(n) = Cosh[(2 n - 1) ArcSinh[Sqrt[2]]]^2 = 1 - Cos[(2 n - 1) ArcSin[Sqrt[3]]]^2 |
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+0
4
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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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COMMENT
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General formula: Cosh[(2 n - 1) ArcSinh[Sqrt[2]]]^2 + Cos[(2 n - 1) ArcSin[Sqrt[3]]]^2 = 1
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FORMULA
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a(n)=A146312(n)+1
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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 this_sequence A092799 A140163 A157573
Adjacent sequences: A146310 A146311 A146312 this_sequence A146314 A146315 A146316
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KEYWORD
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nonn
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AUTHOR
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Artur Jasinski (grafix(AT)csl.pl), Oct 29 2008
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EXTENSIONS
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= Sin[(2 n - 1) ArcSin[Sqrt[3]]])^2 = 1 + Sinh[(2 n - 1) ArcSinh[Sqrt[2]]])^2 [From Artur Jasinski (grafix(AT)csl.pl), Oct 30 2008]
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