Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n-1) + b(n-2) - b(n-3), where a(0) = 1, a(1) = 2, a[2] = 3, b(0) = 4, b(1) = 5, b(2) = 6, and (a(n)) and (b(n)) are increasing complementary sequences.

A295366

Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n-1) + b(n-2) - b(n-3), where a(0) = 1, a(1) = 2, a[2] = 3, b(0) = 4, b(1) = 5, b(2) = 6, and (a(n)) and (b(n)) are increasing complementary sequences.

Terms

    a(0) =1a(1) =2a(2) =3a(3) =12a(4) =23a(5) =44a(6) =77a(7) =132a(8) =221a(9) =367a(10) =604a(11) =987a(12) =1608a(13) =2613a(14) =4240a(15) =6873a(16) =11134a(17) =18029a(18) =29186a(19) =47240a(20) =76453a(21) =123720a(22) =200201a(23) =323950a(24) =524181a(25) =848162a(26) =1372375a(27) =2220570a(28) =3592979a(29) =5813584

External references