Search: id:A098308
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%I A098308
%S A098308 0,1,8,81,800,7921,78408,776161,7683200,76055841,752875208,7452696241,
%T A098308 73774087200,730288175761,7229107670408,71560788528321,708378777612800,
%U A098308 7012226987599681,69413891098384008,687126683996240401
%N A098308 Unsigned member r=-8 of the family of Chebyshev sequences S_r(n) defined 
               in A092184.
%C A098308 ((-1)^(n+1))*a(n) = S_{-8}(n), n>=0, defined in A092184.
%H A098308 <a href="Sindx_Ch.html#Cheby">Index entries for sequences related to 
               Chebyshev polynomials.</a>
%F A098308 a(n)= (T(n, 5)-(-1)^n)/6, with Chebyshev's polynomials of the first kind 
               evaluated at x=5: T(n, 5)=A001079(n)=((5+2*sqrt(6))^n + (5-2*sqrt(6))^n)/
               2.
%F A098308 a(n)= 10*a(n-1)-a(n-2)+2*(-1)^(n+1), n>=2, a(0)=0, a(1)=1.
%F A098308 a(n)= 9*a(n-1) + 9*a(n-2) - a(n-3), n>=3, a(0)=0, a(1)=1, a(2)=8.
%F A098308 G.f.: x*(1-x)/((1+x)*(1-10*x+x^2)) = x*(1-x)/(1-9*x-9*x^2+x^3) (from 
               the Stephan link, see A092184).
%Y A098308 Sequence in context: A078292 A027768 A007792 this_sequence A055996 A068617 
               A007778
%Y A098308 Adjacent sequences: A098305 A098306 A098307 this_sequence A098309 A098310 
               A098311
%K A098308 nonn,easy
%O A098308 0,3
%A A098308 Wolfdieter Lang (wolfdieter.lang_AT_physik_DOT_uni-karlsruhe_DOT_de), 
               Oct 18 2004

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