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Search: id:A098302
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| A098302 |
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Member r=17 of the family of Chebyshev sequences S_r(n) defined in A092184. |
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+0
1
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| 0, 1, 17, 256, 3825, 57121, 852992, 12737761, 190213425, 2840463616, 42416740817, 633410648641, 9458742988800, 141247734183361, 2109257269761617, 31497611312240896, 470354912413851825, 7023826074895536481
(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, 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).
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CROSSREFS
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Sequence in context: A051560 A015675 A029462 this_sequence A002590 A090457 A014898
Adjacent sequences: A098299 A098300 A098301 this_sequence A098303 A098304 A098305
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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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