0,3

A Chebyshev transform of the Pell numbers A000129: if A(x) is the g.f. of a sequence, map it to ((1-x^2)/(1+x^2))A(x/(1+x^2)).

G.f.: x(1-x^2)/(1-2x+x^2-2x^3+x^4); a(n)=2a(n-1)-a(n-2)+2a(n-3)-a(n-4); a(n)=n*sum{k=0..floor(n/2), (-1)^k*binomial(n-k, k)A000129(n-2k)/(n-k)}.

Cf. A099443, A011655, A100047.

Sequence in context: A054231 A054230 A054232 this_sequence A052935 A166022 A052925

Adjacent sequences: A100045 A100046 A100047 this_sequence A100049 A100050 A100051

easy,nonn

Paul Barry (pbarry(AT)wit.ie), Oct 31 2004