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A098304 Member r=19 of the family of Chebyshev sequences S_r(n) defined in A092184. 0

%I

%S 0,1,19,324,5491,93025,1575936,26697889,452288179,7662201156,

%T 129805131475,2199025033921,37253620445184,631112522534209,

%U 10691659262636371,181127094942284100,3068468954756193331

%N Member r=19 of the family of Chebyshev sequences S_r(n) defined in A092184.

%H <a href="/index/Ch#Cheby">Index entries for sequences related to Chebyshev polynomials.</a>

%F a(n)= 2*(T(n, 17/2)-1)/15 with twice the Chebyshev's polynomials of the first kind evaluated at x=17/2: 2*T(n, 17/2)=A078367(n)= ((17+sqrt(285))^n + (17-sqrt(285))^n)/2^n.

%F a(n)= 17*a(n-1) - a(n-2) + 2, n>=2, a(0)=0, a(1)=1.

%F a(n)= 18*a(n-1) - 18*a(n-2) + a(n-3), n>=3, a(0)=0, a(1)=1, a(2)=19.

%F G.f.: x*(1+x)/((1-x)*(1-17*x+x^2)) = x*(1+x)/(1-18*x+18*x^2-x^3) (from the Stephan link, see A092184).

%K nonn,easy

%O 0,3

%A _Wolfdieter Lang_, Oct 18 2004

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Last modified July 17 02:52 EDT 2019. Contains 325092 sequences. (Running on oeis4.)