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 A098299 Member r=14 of the family of Chebyshev sequences S_r(n) defined in A092184. 0
 0, 1, 14, 169, 2016, 24025, 286286, 3411409, 40650624, 484396081, 5772102350, 68780832121, 819597883104, 9766393765129, 116377127298446, 1386759133816225, 16524732478496256, 196910030608138849 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Index entries for linear recurrences with constant coefficients, signature (13,-13,1). FORMULA a(n)= (T(n, 6)-1)/5 with Chebyshev's polynomials of the first kind evaluated at x=6: T(n, 6)=A023038(n)= ((6+sqrt(35))^n + (6-sqrt(35))^n)/2. a(n)= 12*a(n-1) - a(n-2) + 2, n>=2, a(0)=0, a(1)=1. a(n)= 13*a(n-1) - 13*a(n-2) + a(n-3), n>=3, a(0)=0, a(1)=1, a(2)=14. G.f.: x*(1+x)/((1-x)*(1-12*x+x^2)) = x*(1+x)/(1-13*x+13*x^2-x^3) (from the Stephan link, see A092184). CROSSREFS Sequence in context: A062148 A200164 A199529 * A254811 A099158 A014882 Adjacent sequences:  A098296 A098297 A098298 * A098300 A098301 A098302 KEYWORD nonn,easy AUTHOR Wolfdieter Lang, Oct 18 2004 STATUS approved

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Last modified April 9 14:04 EDT 2020. Contains 333353 sequences. (Running on oeis4.)