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

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

Offset: 0

Author

Wolfdieter Lang Apr 04 2007

Keywords

• sign
• tabl
• easy

Comments

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

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

Examples

			1;
0,1;
2,-2,1;
0,5,-4,1;
3,-8,12,-6,1;
0,14,-28,23,-8,1;
...
		

Links

• W. Lang, First 15 rows.

Crossrefs

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

Formula

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