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

A295960

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

Terms

    a(0) =1a(1) =3a(2) =8a(3) =16a(4) =30a(5) =54a(6) =93a(7) =157a(8) =261a(9) =430a(10) =704a(11) =1148a(12) =1868a(13) =3033a(14) =4919a(15) =7971a(16) =12910a(17) =20902a(18) =33834a(19) =54759a(20) =88617a(21) =143401a(22) =232044a(23) =375472a(24) =607544a(25) =983046a(26) =1590621a(27) =2573699a(28) =4164353a(29) =6738086

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