0,3

Index entries for sequences related to Chebyshev polynomials.

G.f.: x/(1-8x+4x^2); E.g.f.: exp(4x)sinh(2sqrt(3)x)/sqrt(3); a(n)=8a(n-1)-4a(n-2); a(n)=sqrt(3)(1+sqrt(3))^(2n)/12-sqrt(3)(sqrt(3)-1)^(2n)/12; a(n)=sum{k=0..n, binomial(2n, 2k+1)3^k/2}; a(n)=2^(n-1)U(n-1, 4/2) where U is the Chebyshev polynomial of the second kind.

Cf. A090965.

Adjacent sequences: A099153 A099154 A099155 this_sequence A099157 A099158 A099159

Sequence in context: A094169 A129325 A001267 this_sequence A129331 A005990 A099337

easy,nonn

Paul Barry (pbarry(AT)wit.ie), Oct 01 2004