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

A294562

Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n-1) - b(n-2) + 1, 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) =5a(3) =10a(4) =17a(5) =29a(6) =48a(7) =80a(8) =130a(9) =212a(10) =344a(11) =558a(12) =904a(13) =1465a(14) =2371a(15) =3838a(16) =6211a(17) =10051a(18) =16264a(19) =26317a(20) =42583a(21) =68902a(22) =111487a(23) =180391a(24) =291881a(25) =472274a(26) =764157a(27) =1236433a(28) =2000592a(29) =3237027

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