login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A098302 Member r=17 of the family of Chebyshev sequences S_r(n) defined in A092184. 0

%I

%S 0,1,17,256,3825,57121,852992,12737761,190213425,2840463616,

%T 42416740817,633410648641,9458742988800,141247734183361,

%U 2109257269761617,31497611312240896,470354912413851825,7023826074895536481

%N Member r=17 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, 15/2)-1)/13 with twice the Chebyshev's polynomials of the first kind evaluated at x=15/2: 2*T(n, 15/2)=A078365(n)= ((15+sqrt(221))^n +(15-sqrt(221))^n)/2^n.

%F a(n)= 15*a(n-1) - a(n-2) + 2, n>=2, a(0)=0, a(1)=1.

%F a(n)= 16*a(n-1) - 16*a(n-2) + a(n-3), n>=3, a(0)=0, a(1)=1, a(2)=17.

%F G.f.: x*(1+x)/((1-x)*(1-15*x+x^2)) = x*(1+x)/(1-16*x+16*x^2-x^3) (from the Stephan link, see A092184).

%K nonn,easy

%O 0,3

%A _Wolfdieter Lang_, Oct 18 2004

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified October 20 18:39 EDT 2019. Contains 328269 sequences. (Running on oeis4.)