This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A128495 #10 Aug 28 2019 17:58:04 %S A128495 1,1,1,2,-1,1,2,3,-3,1,3,-3,8,-5,1,3,6,-16,17,-7,1,4,-6,30,-45,30,-9, %T A128495 1,4,10,-50,103,-98,47,-11,1,5,-10,80,-211,269,-183,68,-13,1,5,15, %U A128495 -120,399,-651,588,-308,93,-15,1,6,-15,175,-707,1432,-1644,1136,-481,122,-17,1,6,21,-245,1190,-2920,4132,-3608 %N A128495 Coefficient table for sums of squares of Chebyshev's S-Polynomials. %C A128495 See A049310 for the coefficient table of Chebyshev's S(n,x)=U(n,x/2) polynomials. %C A128495 The triangle for the coefficients of x^2 in S(n,x)^2 is A158454. - _Wolfdieter Lang_, Oct 18 2012 %H A128495 W. Lang, <a href="/A128495/a128495.txt">First 15 rows.</a> %F A128495 S(2;n,x):=sum(S(k,x)^2,k=0..n)=sum(a(n,m)*x^(2*m),m=0..n), n>=0. %F A128495 a(n,m)=[x^m](n+2-T(n+1,x/2)*U(n+1,x/2))/(2*(1-(x/2)^2)). %e A128495 [1]; [1,1]; [2,-1,1]; [2,3,-3,1]; [3,-3,8,-5,1]; [3,6,-16,17,-7,1]; ... %e A128495 Row polynomial S(2;4,x)=3-3*x^2+8*x^4-5*x^6+x^8 = sum(S(k,x)^2,k=0..4). %e A128495 (4+2-T(4+1,x/2)*U(4+1,x/2))/(2*(1-(x/2)^2))= S(2;4,x) %Y A128495 Row sums (signed) look like: A004523. Row sums (unsigned): A128496. %Y A128495 Cf. A128494 =S(1; n, m). %K A128495 sign,easy,tabl %O A128495 0,4 %A A128495 _Wolfdieter Lang_ Apr 04 2007