

A098300


Member r=15 of the family of Chebyshev sequences S_r(n) defined in A092184.


0



0, 1, 15, 196, 2535, 32761, 423360, 5470921, 70698615, 913611076, 11806245375, 152567578801, 1971572279040, 25477872048721, 329240764354335, 4254652064557636, 54981236074894935, 710501416909076521
(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, 13/2)1)/11 with twice the Chebyshev's polynomials of the first kind evaluated at x=13/2: 2*T(n, 13/2)=A078363(n)=((13+sqrt(165))^n + (13sqrt(165))^n)/2^n.
a(n)= 13*a(n1)  a(n2) + 2, n>=2, a(0)=0, a(1)=1.
a(n)= 14*a(n1)  14*a(n2) + a(n3), n>=3, a(0)=0, a(1)=1, a(2)=15.
G.f.: x*(1+x)/((1x)*(113*x+x^2)) = x*(1+x)/(114*x+14*x^2x^3) (from the Stephan link, see A092184).


CROSSREFS

Sequence in context: A172204 A015673 A125472 * A185899 A152587 A060337
Adjacent sequences: A098297 A098298 A098299 * A098301 A098302 A098303


KEYWORD

nonn,easy


AUTHOR

Wolfdieter Lang, Oct 18 2004


STATUS

approved



