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%I #3 Mar 30 2012 17:34:28
%S -1,1,-1,5,-1,-1,7,-5,-1,-1,11,-7,-5,-1,-1,13,-11,-7,-5,-1,-1,17,-13,
%T -11,-7,-5,-1,-1,19,-17,-13,-11,-7,-5,-1,-1,23,-19,-17,-13,-11,-7,-5,
%U -1,-1,29,-23,-19,-17,-13,-11,-7,-5,-1,-1,31,-29,-23,-19,-17,-13,-11,-7,-5
%N A prime based vector recursion: a(n)={Prime[n+1],Prime[n],Prime[n-1],-Prime[n-2],...,-1,-1}.
%C Row sums are:
%C {-1, 0, 3, 0, -3, -12, -21, -36, -51, -68, -95,...}
%F a(n)={Prime[n+1],Prime[n],Prime[n-1],-Prime[n-2],...,-1,-1}.
%e {-1},
%e {1, -1},
%e {5, -1, -1},
%e {7, -5, -1, -1},
%e {11, -7, -5, -1, -1},
%e {13, -11, -7, -5, -1, -1},
%e {17, -13, -11, -7, -5, -1, -1},
%e {19, -17, -13, -11, -7, -5, -1, -1},
%e {23, -19, -17, -13, -11, -7, -5, -1, -1},
%e {29, -23, -19, -17, -13, -11, -7, -5, -1, -1},
%e {31, -29, -23, -19, -17, -13, -11, -7, -5, -1, -1}
%t b[0] = {-1}; b[1] = {1, -1};
%t b[n_] := b[n] = Join[{Prime[n + 1 ]}, {-b[n - 1][[1]]}, Table[b[n - 1][[i]], {i, 2, Length[b[n - 1]]}]];
%t Table[b[n], {n, 0, 10}]; Flatten[%]
%Y A152568, A027293
%K sign
%O 0,4
%A _Roger L. Bagula_, Dec 11 2008
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