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

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A152860 Scaled row sum zero vector recursion:s=3; v(n)={s^(n+1),s^(n+1)-Sum[s^i,{i,2,n}],s^n,...,-1}. 0

%I #3 Mar 30 2012 17:34:28

%S 1,1,-1,3,-2,-1,9,-5,-3,-1,27,-14,-9,-3,-1,81,-41,-27,-9,-3,-1,243,

%T -122,-81,-27,-9,-3,-1,729,-365,-243,-81,-27,-9,-3,-1,2187,-1094,-729,

%U -243,-81,-27,-9,-3,-1,6561,-3281,-2187,-729,-243,-81,-27,-9,-3,-1,19683

%N Scaled row sum zero vector recursion:s=3; v(n)={s^(n+1),s^(n+1)-Sum[s^i,{i,2,n}],s^n,...,-1}.

%F s = 3; v(n) = {s^(n+1),s^(n+1)-Sum[s^i,{i,2,n}],s^n,...,-1}.

%e {1},

%e {1, -1},

%e {3, -2, -1},

%e {9, -5, -3, -1},

%e {27, -14, -9, -3, -1},

%e {81, -41, -27, -9, -3, -1},

%e {243, -122, -81, -27, -9, -3, -1},

%e {729, -365, -243, -81, -27, -9, -3, -1},

%e {2187, -1094, -729, -243, -81, -27, -9, -3, -1},

%e {6561, -3281, -2187, -729, -243, -81, -27, -9, -3, -1},

%e {19683, -9842, -6561, -2187, -729, -243, -81, -27, -9, -3, -1}

%t Clear[s, b, n]; s = 3; b[0] = {1}; b[1] = {1, -1};

%t b[n_] := Join[{s^(n + 1)}, -{s^(n + 1) - Sum[s^i, {i, n, 2, -1}]}, -Table[s^i, {i, n, 2, -1}]]/9;

%t Table[b[n], {n, 0, 10}];

%t Flatten[%]

%K sign

%O 0,4

%A _Roger L. Bagula_, Dec 14 2008

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.

Last modified June 15 16:27 EDT 2024. Contains 373407 sequences. (Running on oeis4.)