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Search: id:A098304
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| A098304 |
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Member r=19 of the family of Chebyshev sequences S_r(n) defined in A092184. |
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+0
1
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| 0, 1, 19, 324, 5491, 93025, 1575936, 26697889, 452288179, 7662201156, 129805131475, 2199025033921, 37253620445184, 631112522534209, 10691659262636371, 181127094942284100, 3068468954756193331
(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)= 2*(T(n, 17/2)-1)/15 with twice the Chebyshev's polynomials of the first kind evaluated at x=17/2: 2*T(n, 17/2)=A078367(n)= ((17+sqrt(285))^n + (17-sqrt(285))^n)/2^n.
a(n)= 17*a(n-1) - a(n-2) + 2, n>=2, a(0)=0, a(1)=1.
a(n)= 18*a(n-1) - 18*a(n-2) + a(n-3), n>=3, a(0)=0, a(1)=1, a(2)=19.
G.f.: x*(1+x)/((1-x)*(1-17*x+x^2)) = x*(1+x)/(1-18*x+18*x^2-x^3) (from the Stephan link, see A092184).
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CROSSREFS
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Adjacent sequences: A098301 A098302 A098303 this_sequence A098305 A098306 A098307
Sequence in context: A137352 A027541 A015676 this_sequence A014900 A121324 A093973
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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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