0,2

Index entries for sequences related to Chebyshev polynomials.

a(n)= sum(S(k, 20), k=0..n) with S(k, 20)=U(k, 10)=A075843(k+1) Chebyshev's polynomials of the second kind.

G.f.: 1/((1-x)*(1-20*x+x^2)) = 1/(1-21*x+21*x^2-x^3).

a(n)=20*a(n-1)-a(n-2)+1, n>=1, a(-1):=0, a(0)=1.

a(n)= (S(n+1, 20) - S(n, 20) -1)/18.

a(n)=21*a(n-1)-21*a(n-2)+a(n-3), n>=2, a(-1):=0, a(0)=1, a(1)=21.

Sequence in context: A020534 A106656 A083043 this_sequence A064108 A067895 A092499

Adjacent sequences: A097830 A097831 A097832 this_sequence A097834 A097835 A097836

nonn,easy

Wolfdieter Lang (wolfdieter.lang_AT_physik_DOT_uni-karlsruhe_DOT_de), Aug 31 2004