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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

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