login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A108168 Padovan sequence for indices of the Beatty sequence of the tribonacci constant. 0

%I #5 Mar 31 2012 20:47:12

%S 0,1,2,3,5,9,12,21,37,65,114,200,265,465,816,1432,2513,4410,5842,

%T 10252,17991,31572,55405,97229,128801,226030,396655,696081,1221537,

%U 2143648,3761840,4983377,8745217,15346786,26931732,47261895,82938844,109870576

%N Padovan sequence for indices of the Beatty sequence of the tribonacci constant.

%C Limit[a(n)/a(n-1),n->Infinity]={1.32472, 1.75488, 1.75488, 1.75488, 1.75488, 1.75488}

%F a(n) = A000931(3+(A158919(n)). - R. J. Mathar, Sep 11 2011

%t NSolve[x^3 - x^2 - x - 1 = 0, x] beta = 1.8392867552141612 F[1] = 0; F[2] = 1; F[3] = 1; F[n__] := F[n] = F[n - 2] + F[n - 3] a1 = Table[F[Floor[beta*n]], {n, 1, 50}] Table[N[a1[[n]]/a1[[n - 1]]], {n, 3, Length[a1]}]

%Y Cf. A000931.

%K nonn,uned

%O 1,3

%A _Roger L. Bagula_, Jun 13 2005

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified March 29 05:41 EDT 2024. Contains 371264 sequences. (Running on oeis4.)