Search: id:A013595
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%I A013595
%S A013595 0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,
%T A013595 1,0,0,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,
%U A013595 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,1,1,1,0,0,0,0
%V A013595 0,1,-1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,-1,1,1,1,1,1,1,1,1,1,0,0,0,1,
%W A013595 1,0,0,1,0,0,1,1,-1,1,-1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,-1,0,1,1,1,1,1,
%X A013595 1,1,1,1,1,1,1,1,1,1,-1,1,-1,1,-1,1,1,-1,0,1,-1,1,0,-1,1,1,0,0,0,0
%N A013595 Triangle of coefficients of cyclotomic polynomial Phi_n(x) (exponents 
               in increasing order).
%C A013595 We follow Maple in defining Phi_0 to be x; it could equally well be taken 
               to be 1.
%D A013595 E. R. Berlekamp, Algebraic Coding Theory, McGraw-Hill, 1968; see p. 90.
%D A013595 Z. I. Borevich and I. R. Shafarevich, Number Theory. Academic Press, 
               NY, 1966, p. 325.
%D A013595 K. Ireland and M. Rosen, A Classical Introduction to Modern Number Theory, 
               Springer, 1982, p. 194.
%e A013595 Phi_0 = x; Phi_1 = x-1; Phi_2 = x+1; Phi_3 = x^2+x+1; Phi_4 = x^2+1; 
               ...
%p A013595 with(numtheory): [ seq(cyclotomic(n, x), n=0..48) ];
%t A013595 lst={}; Do[lst=Join[lst, CoefficientList[Cyclotomic[n, x], x]], {n, 0, 
               20}]; lst (T. D. Noe (noe(AT)sspectra.com), Dec 06 2005)
%Y A013595 Cf. A013596.
%Y A013595 Sequence in context: A022932 A079421 A164980 this_sequence A011582 A145568 
               A123927
%Y A013595 Adjacent sequences: A013592 A013593 A013594 this_sequence A013596 A013597 
               A013598
%K A013595 sign,easy,nice,tabf
%O A013595 0,1
%A A013595 N. J. A. Sloane (njas(AT)research.att.com).

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