Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n), 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.

A295950

Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n), 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) =10a(3) =20a(4) =37a(5) =65a(6) =111a(7) =187a(8) =310a(9) =510a(10) =834a(11) =1359a(12) =2209a(13) =3585a(14) =5812a(15) =9416a(16) =15249a(17) =24687a(18) =39959a(19) =64670a(20) =104654a(21) =169350a(22) =274031a(23) =443409a(24) =717469a(25) =1160908a(26) =1878408a(27) =3039348a(28) =4917789a(29) =7957171

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