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Search: id:A098303
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| A098303 |
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Member r=18 of the family of Chebyshev sequences S_r(n) defined in A092184. |
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+0
1
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| 0, 1, 18, 289, 4608, 73441, 1170450, 18653761, 297289728, 4737981889, 75510420498, 1203428746081, 19179349516800, 305666163522721, 4871479266846738, 77638002106025089, 1237336554429554688
(list; graph; listen)
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OFFSET
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0,3
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LINKS
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Index entries for sequences related to Chebyshev polynomials.
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FORMULA
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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).
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CROSSREFS
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Sequence in context: A115903 A004357 A035119 this_sequence A014899 A048447 A113367
Adjacent sequences: A098300 A098301 A098302 this_sequence A098304 A098305 A098306
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KEYWORD
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nonn,easy
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AUTHOR
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Wolfdieter Lang (wolfdieter.lang_AT_physik_DOT_uni-karlsruhe_DOT_de), Oct 18 2004
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