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

A295959

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

Terms

    a(0) =1a(1) =5a(2) =11a(3) =23a(4) =42a(5) =74a(6) =126a(7) =211a(8) =350a(9) =575a(10) =940a(11) =1531a(12) =2488a(13) =4037a(14) =6544a(15) =10601a(16) =17166a(17) =27789a(18) =44978a(19) =72792a(20) =117796a(21) =190615a(22) =308439a(23) =499083a(24) =807552a(25) =1306666a(26) =2114250a(27) =3420949a(28) =5535233a(29) =8956217

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