Braided power sequence: A065692 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 this is d(n+1) = 3*d(n) + 2*c(n) - b(n), starting with b(0) = 0, c(0) = 1 and d(0) = 2.

A065694

Braided power sequence: A065692 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 this 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) =2a(1) =8a(2) =23a(3) =47a(4) =80a(5) =365a(6) =3089a(7) =19916a(8) =96287a(9) =369983a(10) =1188008a(11) =3489557a(12) =11440865a(13) =49588820a(14) =250207799a(15) =1210364111a(16) =5215038272a(17) =20004134333a(18) =70879879793a(19) =248964475292a(20) =941859229775

External references