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

A296250

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

Terms

    a(0) =3a(1) =4a(2) =32a(3) =72a(4) =153a(5) =289a(6) =523a(7) =912a(8) =1556a(9) =2612a(10) =4337a(11) =7145a(12) =11707a(13) =19108a(14) =31104a(15) =50536a(16) =82001a(17) =132937a(18) =215379a(19) =348800a(20) =564708a(21) =914084a(22) =1479417a(23) =2394177a(24) =3874323a(25) =6269284a(26) =10144448a(27) =16414632a(28) =26560041a(29) =42975762

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