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) = 3, a(2) = 5, b(0) = 2, b(1) = 4, b(2) = 6, and (a(n)) and (b(n)) are increasing complementary sequences.

A295358

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) = 3, a(2) = 5, b(0) = 2, b(1) = 4, b(2) = 6, and (a(n)) and (b(n)) are increasing complementary sequences.

Terms

    a(0) =1a(1) =3a(2) =5a(3) =16a(4) =30a(5) =55a(6) =95a(7) =161a(8) =268a(9) =442a(10) =724a(11) =1181a(12) =1921a(13) =3120a(14) =5061a(15) =8201a(16) =13283a(17) =21506a(18) =34812a(19) =56342a(20) =91179a(21) =147547a(22) =238753a(23) =386328a(24) =625110a(25) =1011468a(26) =1636610a(27) =2648112a(28) =4284756a(29) =6932903

External references