Let M = the 2 X 2 matrix [0 1 / -1 2+sqrt(8)]. Perform the operation M^n * [1 1] = [x y]; then a(n) = floor(x), a(n+1) = floor(y).

A093568

Let M = the 2 X 2 matrix [0 1 / -1 2+sqrt(8)]. Perform the operation M^n * [1 1] = [x y]; then a(n) = floor(x), a(n+1) = floor(y).

Terms

    a(0) =1a(1) =3a(2) =17a(3) =80a(4) =371a(5) =1714a(6) =7904a(7) =36451a(8) =168098a(9) =775200a(10) =3574898a(11) =16485939a(12) =76026256a(13) =350601298a(14) =1616826563a(15) =7456127936a(16) =34384543809a(17) =158567136067a(18) =731245317072

External references