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

A295955

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

Terms

    a(0) =3a(1) =4a(2) =13a(3) =24a(4) =45a(5) =78a(6) =133a(7) =222a(8) =367a(9) =602a(10) =984a(11) =1602a(12) =2603a(13) =4223a(14) =6845a(15) =11088a(16) =17954a(17) =29064a(18) =47041a(19) =76129a(20) =123196a(21) =199352a(22) =322576a(23) =521957a(24) =844563a(25) =1366551a(26) =2211146a(27) =3577730a(28) =5788910a(29) =9366675

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