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 A098302 Member r=17 of the family of Chebyshev sequences S_r(n) defined in A092184. 0
 0, 1, 17, 256, 3825, 57121, 852992, 12737761, 190213425, 2840463616, 42416740817, 633410648641, 9458742988800, 141247734183361, 2109257269761617, 31497611312240896, 470354912413851825, 7023826074895536481 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS FORMULA 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. a(n)= 15*a(n-1) - a(n-2) + 2, n>=2, a(0)=0, a(1)=1. a(n)= 16*a(n-1) - 16*a(n-2) + a(n-3), n>=3, a(0)=0, a(1)=1, a(2)=17. 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). CROSSREFS Sequence in context: A217453 A015675 A029462 * A090457 A174408 A260072 Adjacent sequences:  A098299 A098300 A098301 * A098303 A098304 A098305 KEYWORD nonn,easy AUTHOR Wolfdieter Lang, Oct 18 2004 STATUS approved

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Last modified April 1 05:04 EDT 2020. Contains 333155 sequences. (Running on oeis4.)