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A146311 revision #10

A146311
a(n) = cos(2*n*arcsin(sqrt(3)) = (-1)^n*cosh(2*n*arcsinh(sqrt(2)).
25
1, -5, 49, -485, 4801, -47525, 470449, -4656965, 46099201, -456335045, 4517251249, -44716177445, 442644523201, -4381729054565, 43374646022449, -429364731169925, 4250272665676801, -42073361925598085, 416483346590304049
OFFSET
0,2
COMMENTS
Apart from sign, same as A001079 (see first formula).
FORMULA
a(n) = (-1)^n A001079(n).
From Colin Barker, Oct 26 2014: (Start)
a(n) = ((-5-2*sqrt(6))^n+(-5+2*sqrt(6))^n)/2.
a(n) = -10*a(n-1)-a(n-2).
G.f.: (5*x+1) / (x^2+10*x+1).
(End)
MATHEMATICA
Table[Round[N[Cos[2 n ArcSin[Sqrt[3]]], 50]], {n, 0, 100}]
PROG
(PARI) Vec((5*x+1)/(x^2+10*x+1) + O(x^100)) \\ Colin Barker, Oct 26 2014
CROSSREFS
Cf. A001079.
Sequence in context: A155629 A096596 A001079 * A212818 A195206 A081474
KEYWORD
sign,easy
AUTHOR
Artur Jasinski, Oct 29 2008
EXTENSIONS
a(18) from Colin Barker, Oct 26 2014
STATUS
proposed