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

A296247

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

Terms

    a(0) =1a(1) =4a(2) =30a(3) =70a(4) =149a(5) =283a(6) =513a(7) =896a(8) =1530a(9) =2570a(10) =4269a(11) =7035a(12) =11529a(13) =18820a(14) =30638a(15) =49782a(16) =80781a(17) =130963a(18) =212185a(19) =343632a(20) =556346a(21) =900554a(22) =1457525a(23) =2358755a(24) =3817009a(25) =6176548a(26) =9994398a(27) =16171907a(28) =26167329a(29) =42340325

External references