Braided power sequence: this is b(n+1) = 3*b(n) + 2*d(n) - c(n), A065693 is c(n+1) = 3*c(n) + 2*b(n) - d(n) and A065694 is d(n+1) = 3*d(n) + 2*c(n) - b(n), starting with b(0) = 0, c(0) = 1 and d(0) = 2.

A065692

Braided power sequence: this is b(n+1) = 3*b(n) + 2*d(n) - c(n), A065693 is c(n+1) = 3*c(n) + 2*b(n) - d(n) and A065694 is d(n+1) = 3*d(n) + 2*c(n) - b(n), starting with b(0) = 0, c(0) = 1 and d(0) = 2.

Terms

    a(0) =0a(1) =3a(2) =24a(3) =117a(4) =417a(5) =1140a(6) =2583a(7) =7311a(8) =39840a(9) =251613a(10) =1329969a(11) =5738172a(12) =20838447a(13) =67344735a(14) =216818808a(15) =812592261a(16) =3660235905a(17) =17401156548a(18) =78077421639a(19) =318790895727

External references