This site is supported by donations to The OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A146313 a(n) = cosh( (2n - 1)*arcsinh(sqrt(2)) )^2 = 1 - cos( (2n - 1)*arcsin(sqrt(3)) )^2. 25
 3, 243, 23763, 2328483, 228167523, 22358088723, 2190864527283, 214682365584963, 21036680962799043, 2061380051988721203, 201994208413931878803, 19793371044513335401443, 1939548368153892937462563, 190055946708036994535929683, 18623543229019471571583646323 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS G. C. Greubel, Table of n, a(n) for n = 1..500 Index entries for linear recurrences with constant coefficients, signature (99,-99,1). FORMULA a(n) = A146312(n) + 1. a(n) = sin((2n-1)*arcsin(sqrt(3)))^2 = 1+sinh((2n-1)*arcsinh(sqrt(2)))^2. - Artur Jasinski, Oct 30 2008 a(n) = 99*a(n-1)-99*a(n-2)+a(n-3). - Colin Barker, Oct 26 2014 G.f.: -3*x*(x^2-18*x+1) / ((x-1)*(x^2-98*x+1)). - Colin Barker, Oct 26 2014 MAPLE A146313 := proc(n) cosh( (2*n - 1)*arcsinh(sqrt(2)) )^2; expand(%) ; simplify(%) ; end proc: # R. J. Mathar, Feb 26 2011 MATHEMATICA Table[Round[N[Cosh[(2 n - 1) ArcSinh[Sqrt[2]]], 300]^2], {n, 1, 50}] (* Artur Jasinski, Oct 30 2008 *) PROG (PARI) Vec(-3*x*(x^2-18*x+1) / ((x-1)*(x^2-98*x+1)) + O(x^100)) \\ Colin Barker, Oct 26 2014 CROSSREFS Cf. A146311, A146312. Sequence in context: A324444 A236249 A013778 * A092799 A229690 A140163 Adjacent sequences:  A146310 A146311 A146312 * A146314 A146315 A146316 KEYWORD nonn,easy AUTHOR Artur Jasinski, Oct 29 2008 EXTENSIONS More terms from Colin Barker, Oct 26 2014 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified October 17 15:01 EDT 2019. Contains 328116 sequences. (Running on oeis4.)