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

A295957

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

Terms

    a(0) =1a(1) =4a(2) =11a(3) =22a(4) =41a(5) =72a(6) =123a(7) =206a(8) =342a(9) =562a(10) =919a(11) =1497a(12) =2433a(13) =3948a(14) =6400a(15) =10368a(16) =16789a(17) =27179a(18) =43992a(19) =71196a(20) =115214a(21) =186437a(22) =301679a(23) =488145a(24) =789854a(25) =1278030a(26) =2067916a(27) =3345979a(28) =5413929a(29) =8759943

External references