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

A296245

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

Terms

    a(0) =1a(1) =2a(2) =28a(3) =66a(4) =143a(5) =273a(6) =497a(7) =870a(8) =1488a(9) =2502a(10) =4159a(11) =6857a(12) =11241a(13) =18354a(14) =29884a(15) =48562a(16) =78807a(17) =127769a(18) =207017a(19) =335270a(20) =542816a(21) =878662a(22) =1422103a(23) =2301441a(24) =3724273a(25) =6026555a(26) =9751728a(27) =15779244a(28) =25531996a(29) =41312329

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