0,3

See the comment in A099279. This is example a=10.

Index entries for sequences related to Chebyshev polynomials.

a(n)= A041041(n-1)^2, n>=1, a(0)=0.

a(n)= 101*a(n-1) + 101*a(n-2) - a(n-3), n>=3; a(0)=0, a(1)=1, a(2)=100.

a(n)= 102*a(n-1) - a(n-2) - 2*(-1)^n, n>=2; a(0)=0, a(1)=1.

a(n)= (T(n, 51)-(-1)^n)/52 with the Chebyshev's polynomials of the first kind: T(n, 51)=(n).

G.f.: x*(1-x)/((1-102*x+x^2)*(1+x)) = x*(1-x)/(1-101*x-101*x^2+x^3).

a(n)=-(1/52)*(-1)^n+(1/104)*[51+10*sqrt(26)]^n+(1/104)*[51-10*sqrt(26)]^n, with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), Aug 28 2008]

Sequence in context: A045799 A096885 A027576 this_sequence A163663 A151648 A013747

Adjacent sequences: A099371 A099372 A099373 this_sequence A099375 A099376 A099377

nonn,easy

Wolfdieter Lang (wolfdieter.lang_AT_physik_DOT_uni-karlsruhe_DOT_de), Oct 18 2004