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A076626 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.

%I A076626 #15 Jan 01 2024 13:38:01
%S A076626 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 A076626 -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 A076626 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 A076626 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 A076626 Mirror image of triangle in A201863. - _Philippe Deléham_, Dec 07 2011
%F A076626 T(n,k) = 2*T(n-1,k-1) - T(n-2,k). - _Philippe Deléham_, Dec 07 2011
%e A076626 p(4,x) = 8*x^5 - 12*x^3 + 4*x hence 0,4,0,-12,0,8 are terms in the sequence.
%e A076626 From _Philippe Deléham_, Dec 07 2011: (Start)
%e A076626 Triangle begins:
%e A076626    1;
%e A076626    0,    0;
%e A076626   -1,    0,    1;
%e A076626    0,   -2,    0,    2;
%e A076626    1,    0,   -5,    0,    4;
%e A076626    0,    4,    0,  -12,    0,    8;
%e A076626   -1,    0,   13,    0,  -28,    0,   16;
%e A076626    0,   -6,    0,   38,    0,  -64,    0,   32;
%e A076626    1,    0,  -25,    0,  104,    0, -144,    0,   64; (End)
%Y A076626 Cf. A201863, A201509.
%K A076626 sign,tabl
%O A076626 0,8
%A A076626 _Benoit Cloitre_, Oct 22 2002
%E A076626 Definition corrected by _Philippe Deléham_, Dec 07 2011