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.

A295362

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) =8a(4) =10a(5) =14a(6) =19a(7) =25a(8) =34a(9) =49a(10) =71a(11) =106a(12) =162a(13) =253a(14) =398a(15) =632a(16) =1010a(17) =1621a(18) =2610a(19) =4208a(20) =6793a(21) =10975a(22) =17741a(23) =28688a(24) =46400a(25) =75058a(26) =121428a(27) =196454a(28) =317848a(29) =514267

External references