|
|
FORMULA
| a(n)= sum(S(k, 17), k=0..n) with S(k, 17)=U(k, 17/2)=A078366(k) Chebyshev's polynomials of the second kind.
G.f.: 1/((1-x)*(1-17*x+x^2)) = 1/(1-18*x+18*x^2-x^3).
a(n)=18*a(n-1)-18*a(n-2)+a(n-3), n>=2, a(-1):=0, a(0)=1, a(1)=18.
a(n)=17*a(n-1)-a(n-2)+1, n>=1, a(-1):=0, a(0)=1.
a(n)=(S(n+1, 17) - S(n, 17) -1)/15.
|
