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

A294543

Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n-1) + 2, 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) =9a(3) =18a(4) =35a(5) =62a(6) =107a(7) =181a(8) =301a(9) =496a(10) =812a(11) =1324a(12) =2153a(13) =3495a(14) =5667a(15) =9183a(16) =14872a(17) =24078a(18) =38974a(19) =63077a(20) =102077a(21) =165181a(22) =267286a(23) =432496a(24) =699812a(25) =1132339a(26) =1832183a(27) =2964555a(28) =4796772a(29) =7761362

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