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

A295965

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

Terms

    a(0) =2a(1) =3a(2) =9a(3) =17a(4) =32a(5) =56a(6) =97a(7) =163a(8) =271a(9) =446a(10) =730a(11) =1190a(12) =1935a(13) =3142a(14) =5095a(15) =8256a(16) =13371a(17) =21648a(18) =35041a(19) =56712a(20) =91777a(21) =148514a(22) =240317a(23) =388858a(24) =629203a(25) =1018090a(26) =1647323a(27) =2665445a(28) =4312801a(29) =6978280

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