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Search: id:A098299
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| A098299 |
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Member r=14 of the family of Chebyshev sequences S_r(n) defined in A092184. |
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+0
1
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| 0, 1, 14, 169, 2016, 24025, 286286, 3411409, 40650624, 484396081, 5772102350, 68780832121, 819597883104, 9766393765129, 116377127298446, 1386759133816225, 16524732478496256, 196910030608138849
(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, 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).
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CROSSREFS
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Sequence in context: A125449 A159738 A062148 this_sequence A099158 A014882 A048443
Adjacent sequences: A098296 A098297 A098298 this_sequence A098300 A098301 A098302
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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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