login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A098304 Member r=19 of the family of Chebyshev sequences S_r(n) defined in A092184. 0
0, 1, 19, 324, 5491, 93025, 1575936, 26697889, 452288179, 7662201156, 129805131475, 2199025033921, 37253620445184, 631112522534209, 10691659262636371, 181127094942284100, 3068468954756193331 (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)= 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).

CROSSREFS

Sequence in context: A027541 A143699 A015676 * A014900 A121324 A093973

Adjacent sequences:  A098301 A098302 A098303 * A098305 A098306 A098307

KEYWORD

nonn,easy

AUTHOR

Wolfdieter Lang, Oct 18 2004

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified June 15 20:50 EDT 2019. Contains 324145 sequences. (Running on oeis4.)