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

A294565

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

Terms

    a(0) =1a(1) =2a(2) =6a(3) =12a(4) =25a(5) =44a(6) =77a(7) =130a(8) =217a(9) =360a(10) =590a(11) =964a(12) =1569a(13) =2549a(14) =4135a(15) =6702a(16) =10856a(17) =17578a(18) =28455a(19) =46055a(20) =74533a(21) =120614a(22) =195173a(23) =315814a(24) =511015a(25) =826858a(26) =1337903a(27) =2164792a(28) =3502727a(29) =5667552

External references