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A098302 Member r=17 of the family of Chebyshev sequences S_r(n) defined in A092184. 0
0, 1, 17, 256, 3825, 57121, 852992, 12737761, 190213425, 2840463616, 42416740817, 633410648641, 9458742988800, 141247734183361, 2109257269761617, 31497611312240896, 470354912413851825, 7023826074895536481 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..17.

Index entries for sequences related to Chebyshev polynomials.

FORMULA

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).

CROSSREFS

Sequence in context: A217453 A015675 A029462 * A090457 A174408 A260072

Adjacent sequences:  A098299 A098300 A098301 * A098303 A098304 A098305

KEYWORD

nonn,easy

AUTHOR

Wolfdieter Lang, Oct 18 2004

STATUS

approved

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Last modified July 22 10:03 EDT 2019. Contains 325219 sequences. (Running on oeis4.)