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Coefficient table for sums over product of adjacent Chebyshev S-polynomials.
1

%I #9 Aug 29 2019 08:49:54

%S 1,0,1,2,-2,1,0,5,-4,1,3,-8,12,-6,1,0,14,-28,23,-8,1,4,-20,58,-68,38,

%T -10,1,0,30,-108,171,-136,57,-12,1,5,-40,188,-382,405,-240,80,-14,1,0,

%U 55,-308,781,-1056,828,-388,107,-16,1,6,-70,483,-1488,2488,-2472,1524,-588,138,-18,1,0,91,-728,2678,-5408

%N Coefficient table for sums over product of adjacent Chebyshev S-polynomials.

%C See A049310 for the coefficient table of Chebyshev's S(n,x)=U(n,x/2) polynomials.

%C See A128495 for the sums of squares of Chebyshev's S-polynomials.

%H W. Lang, <a href="/A128497/a128497.txt">First 15 rows.</a>

%F sum(S(k,x)*S(k+1,x)/x,k=0..n)= sum(a(n,m)*x^(2*m),m=0..n).

%e 1;

%e 0,1;

%e 2,-2,1;

%e 0,5,-4,1;

%e 3,-8,12,-6,1;

%e 0,14,-28,23,-8,1;

%e ...

%Y Row sums (signed) look like A008620. Row sums (unsigned) look like |A077916|.

%K sign,tabl,easy

%O 0,4

%A _Wolfdieter Lang_ Apr 04 2007