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A098303 Member r=18 of the family of Chebyshev sequences S_r(n) defined in A092184. 0
0, 1, 18, 289, 4608, 73441, 1170450, 18653761, 297289728, 4737981889, 75510420498, 1203428746081, 19179349516800, 305666163522721, 4871479266846738, 77638002106025089, 1237336554429554688 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..16.

Index entries for sequences related to Chebyshev polynomials.

FORMULA

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).

CROSSREFS

Sequence in context: A294327 A286725 A226998 * A232154 A014899 A048447

Adjacent sequences:  A098300 A098301 A098302 * A098304 A098305 A098306

KEYWORD

nonn,easy

AUTHOR

Wolfdieter Lang, Oct 18 2004

STATUS

approved

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Last modified June 20 00:47 EDT 2019. Contains 324223 sequences. (Running on oeis4.)