cp's OEIS Frontend

A128497 Coefficient table for sums over product of adjacent Chebyshev S-polynomials.

%I A128497 #9 Aug 29 2019 08:49:54
%S A128497 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 A128497 -10,1,0,30,-108,171,-136,57,-12,1,5,-40,188,-382,405,-240,80,-14,1,0,
%U A128497 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 A128497 Coefficient table for sums over product of adjacent Chebyshev S-polynomials.
%C A128497 See A049310 for the coefficient table of Chebyshev's S(n,x)=U(n,x/2) polynomials.
%C A128497 See A128495 for the sums of squares of Chebyshev's S-polynomials.
%H A128497 W. Lang, <a href="/A128497/a128497.txt">First 15 rows.</a>
%F A128497 sum(S(k,x)*S(k+1,x)/x,k=0..n)= sum(a(n,m)*x^(2*m),m=0..n).
%e A128497 1;
%e A128497 0,1;
%e A128497 2,-2,1;
%e A128497 0,5,-4,1;
%e A128497 3,-8,12,-6,1;
%e A128497 0,14,-28,23,-8,1;
%e A128497 ...
%Y A128497 Row sums (signed) look like A008620. Row sums (unsigned) look like |A077916|.
%K A128497 sign,tabl,easy
%O A128497 0,4
%A A128497 _Wolfdieter Lang_ Apr 04 2007