OFFSET
0,2
COMMENTS
Apart from sign, same as A001079 (see first formula).
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (-10,-1).
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)
E.g.f.: exp(-5*x)*cosh(2*sqrt(6)*x). - Stefano Spezia, Feb 14 2025
MATHEMATICA
Table[Round[N[Cos[2 n ArcSin[Sqrt[3]]], 50]], {n, 0, 100}]
CoefficientList[Series[(5*x + 1)/(x^2 + 10*x + 1), {x, 0, 50}], x] (* G. C. Greubel, Jul 02 2017 *)
PROG
(PARI) Vec((5*x+1)/(x^2+10*x+1) + O(x^100)) \\ Colin Barker, Oct 26 2014
CROSSREFS
KEYWORD
sign,easy
AUTHOR
Artur Jasinski, Oct 29 2008
EXTENSIONS
a(18) from Colin Barker, Oct 26 2014
STATUS
approved