Extended Lucas L(n,i) = n*(L(n,i-1) + L(n,i-2)) = a^i + b^i where d = sqrt(n*(n+4)); a=(n+d)/2; b=(n-d)/2.

A170931

Extended Lucas L(n,i) = n*(L(n,i-1) + L(n,i-2)) = a^i + b^i where d = sqrt(n*(n+4)); a=(n+d)/2; b=(n-d)/2.

Terms

    a(0) =2a(1) =4a(2) =24a(3) =112a(4) =544a(5) =2624a(6) =12672a(7) =61184a(8) =295424a(9) =1426432a(10) =6887424a(11) =33255424a(12) =160571392a(13) =775307264a(14) =3743514624a(15) =18075287552a(16) =87275208704a(17) =421401985024

External references