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%I #15 Jan 01 2024 13:38:01
%S 1,0,0,-1,0,1,0,-2,0,2,1,0,-5,0,4,0,4,0,-12,0,8,-1,0,13,0,-28,0,16,0,
%T -6,0,38,0,-64,0,32,1,0,-25,0,104,0,-144,0,64,0,8,0,-88,0,272,0,-320,
%U 0,128,-1,0,41,0,-280,0,688,0,-704,0,256,0,-10,0,170,0,-832,0,1696,0,-1536,0,512,1,0,-61,0,620,0,-2352,0,4096,0,-3328,0,1024
%N Array of coefficients of polynomials p(n,x) = 2^(n-1)*Product_{i=0..n} (x - cos(i*Pi/n)) of degree (n+1) with P(-1,x) = 1, P(0,x) = 0.
%C Mirror image of triangle in A201863. - _Philippe Deléham_, Dec 07 2011
%F T(n,k) = 2*T(n-1,k-1) - T(n-2,k). - _Philippe Deléham_, Dec 07 2011
%e p(4,x) = 8*x^5 - 12*x^3 + 4*x hence 0,4,0,-12,0,8 are terms in the sequence.
%e From _Philippe Deléham_, Dec 07 2011: (Start)
%e Triangle begins:
%e 1;
%e 0, 0;
%e -1, 0, 1;
%e 0, -2, 0, 2;
%e 1, 0, -5, 0, 4;
%e 0, 4, 0, -12, 0, 8;
%e -1, 0, 13, 0, -28, 0, 16;
%e 0, -6, 0, 38, 0, -64, 0, 32;
%e 1, 0, -25, 0, 104, 0, -144, 0, 64; (End)
%Y Cf. A201863, A201509.
%K sign,tabl
%O 0,8
%A _Benoit Cloitre_, Oct 22 2002
%E Definition corrected by _Philippe Deléham_, Dec 07 2011
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