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%I #5 Mar 04 2013 10:47:51
%S 1,1,1,1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,
%T 0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,
%U 1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0
%N A triangular sequence of cyclotomic polynomial doubling: For cyclotomic polynomial:c(x,n) p(x,n)=c(x,Prime[n])*c(x,2*Prime[n]).
%C Row sums are primes except for n=1:
%C {4, 3, 5, 7, 11, 13, 17, 19, 23, 29}
%F For cyclotomic polynomial:c(x,n) p(x,n)=c(x,Prime[n])*c(x,2*Prime[n])
%e {1, 1, 1, 1},
%e {1, 0, 1, 0, 1},
%e {1, 0, 1, 0, 1, 0, 1, 0, 1},
%e {1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1},
%e {1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1},
%e {1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1},
%e {1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1},
%e {1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1},
%e {1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1},
%e {1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1}
%t Clear[p, x, n] p[x_, n_] = Cyclotomic[Prime[n], x]*Cyclotomic[2*Prime[n], x]; Table[ExpandAll[p[x, n]], {n, 1, 10}]; a = Table[CoefficientList[p[x, n], x], {n, 1, 10}]
%K nonn,tabf,uned
%O 1,1
%A _Roger L. Bagula_ and _Gary W. Adamson_, Jul 09 2008
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