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 A098303 Member r=18 of the family of Chebyshev sequences S_r(n) defined in A092184. 0
 0, 1, 18, 289, 4608, 73441, 1170450, 18653761, 297289728, 4737981889, 75510420498, 1203428746081, 19179349516800, 305666163522721, 4871479266846738, 77638002106025089, 1237336554429554688 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS FORMULA a(n)= (T(n, 8)-1)/7 with Chebyshev's polynomials of the first kind evaluated at x=8: T(n, 8)=A001081(n)= ((8+3*sqrt(7))^n + (8-3*sqrt(7))^n)/2. a(n)= 16*a(n-1) - a(n-2) + 2, n>=2, a(0)=0, a(1)=1. a(n)= 17*a(n-1) - 17*a(n-2) + a(n-3), n>=3, a(0)=0, a(1)=1, a(2)=18. G.f.: x*(1+x)/((1-x)*(1-16*x+x^2)) = x*(1+x)/(1-17*x+17*x^2-x^3) (from the Stephan link, see A092184). CROSSREFS Sequence in context: A294327 A286725 A226998 * A232154 A014899 A048447 Adjacent sequences:  A098300 A098301 A098302 * A098304 A098305 A098306 KEYWORD nonn,easy AUTHOR Wolfdieter Lang, Oct 18 2004 STATUS approved

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Last modified June 20 00:47 EDT 2019. Contains 324223 sequences. (Running on oeis4.)