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

A295956

Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n) + 1, 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) =9a(3) =18a(4) =35a(5) =62a(6) =108a(7) =182a(8) =303a(9) =499a(10) =817a(11) =1332a(12) =2166a(13) =3516a(14) =5702a(15) =9239a(16) =14963a(17) =24225a(18) =39212a(19) =63462a(20) =102700a(21) =166189a(22) =268917a(23) =435135a(24) =704082a(25) =1139248a(26) =1843362a(27) =2982643a(28) =4826039a(29) =7808717

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