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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A098299 Member r=14 of the family of Chebyshev sequences S_r(n) defined in A092184. 0
0, 1, 14, 169, 2016, 24025, 286286, 3411409, 40650624, 484396081, 5772102350, 68780832121, 819597883104, 9766393765129, 116377127298446, 1386759133816225, 16524732478496256, 196910030608138849 (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.

Index entries for linear recurrences with constant coefficients, signature (13,-13,1).

FORMULA

a(n)= (T(n, 6)-1)/5 with Chebyshev's polynomials of the first kind evaluated at x=6: T(n, 6)=A023038(n)= ((6+sqrt(35))^n + (6-sqrt(35))^n)/2.

a(n)= 12*a(n-1) - a(n-2) + 2, n>=2, a(0)=0, a(1)=1.

a(n)= 13*a(n-1) - 13*a(n-2) + a(n-3), n>=3, a(0)=0, a(1)=1, a(2)=14.

G.f.: x*(1+x)/((1-x)*(1-12*x+x^2)) = x*(1+x)/(1-13*x+13*x^2-x^3) (from the Stephan link, see A092184).

CROSSREFS

Sequence in context: A062148 A200164 A199529 * A254811 A099158 A014882

Adjacent sequences:  A098296 A098297 A098298 * A098300 A098301 A098302

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 August 20 04:33 EDT 2019. Contains 326139 sequences. (Running on oeis4.)