0,2

Index entries for sequences relate d to Chebyshev polynomials.

a(n)= sum(S(k, 19), k=0..n) with S(k, 19)=U(k, 19/2)=A078368(k) Chebyshev's polynomials of the second kind.

G.f.: 1/((1-x)*(1-19*x+x^2)) = 1/(1-20*x+20*x^2-x^3).

a(n) = 20*a(n-1)-20*a(n-2)+a(n-3), n>=2, a(-1):=0, a(0)=1, a(1)=20.

a(n) = 19*a(n-1)-a(n-2)+1, n>=1, a(-1):=0, a(0)=1.

a(n) = (S(n+1, 19) - S(n, 19) -1)/17.

Sequence in context: A000564 A019580 A084329 this_sequence A063815 A075843 A090051

Adjacent sequences: A097829 A097830 A097831 this_sequence A097833 A097834 A097835

nonn,easy

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