The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
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!)
A129772 a(0) = 1, a(1) = 2; for n > 0, a(2n) = 3a(2n-1), a(2n+1) = 3a(2n) - 2a(n-1). 2

%I #9 Feb 18 2019 02:45:39

%S 1,2,6,16,48,140,420,1248,3744,11200,33600,100704,302112,906056,

%T 2718168,8153664,24460992,73380480,220141440,660416832,1981250496,

%U 5943729088,17831187264,53493494592,160480483776,481441249920,1444323749760

%N a(0) = 1, a(1) = 2; for n > 0, a(2n) = 3a(2n-1), a(2n+1) = 3a(2n) - 2a(n-1).

%p a[0]:=1: a[1]:=2: for n from 2 to 30 do if n mod 2 = 0 then a[n]:=3*a[n-1] else a[n]:=3*a[n-1]-2*a[(n-3)/2] fi od: seq(a[n],n=0..30); # _Emeric Deutsch_, May 22 2007

%t a[0] = 1; a[1] = 2; a[n_] := If[OddQ@n, 3 a[n - 1] - 2 a[(n - 3)/2], 3 a[n - 1]]; Table[ a[n], {n, 0, 26}] (* _Robert G. Wilson v_ *)

%o (PARI) {m=26; v=vector(m+1); v[1]=1; v[2]=2; for(n=2, m, k=3*v[n]; if(n%2==1, k=k-2*v[(n-1)/2]); v[n+1]=k); print(v)} /* _Klaus Brockhaus_, May 20 2007 */

%Y Cf. A129770.

%K nonn

%O 0,2

%A _Paul Curtz_, May 16 2007

%E More terms from _Emeric Deutsch_, _Robert G. Wilson v_ and _Klaus Brockhaus_, May 16 2007

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 June 17 03:24 EDT 2024. Contains 373432 sequences. (Running on oeis4.)