0,2

The g.f. is the transform of the g.f. of A000045 under the mapping G(x)-> (-1/(1+x))G((x-1)/(x+1)). In general this mapping transforms x/(1-kx-kx^2) into (1-x)/(1+2(k+1)x-(2k-1)x^2).

Index entries for sequences related to linear recurrences with constant coefficients

Tanya Khovanova, Recursive Sequences

G.f.: (1-x)/(1+4x-x^2); a(n)=(sqrt(5)-2)^n(1/2-3sqrt(5)/10)+(-sqrt(5)-2)^n(1/2+3sqrt(5)/10); a(n)=(-1)^nFib(3n+2).

a(n)=-4*a(n-1)+a(n-2), a(0)=1, a(1)=-5. [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 03 2008]

Cf. A099842, A015448.

Sequence in context: A019992 A010917 A015448 this_sequence A035011 A113987 A164037

Adjacent sequences: A099840 A099841 A099842 this_sequence A099844 A099845 A099846

easy,sign

Paul Barry (pbarry(AT)wit.ie), Oct 27 2004