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

A295949

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

Terms

    a(0) =1a(1) =2a(2) =8a(3) =16a(4) =31a(5) =56a(6) =97a(7) =164a(8) =273a(9) =450a(10) =737a(11) =1202a(12) =1956a(13) =3176a(14) =5151a(15) =8347a(16) =13519a(17) =21888a(18) =35430a(19) =57342a(20) =92797a(21) =150165a(22) =242989a(23) =393182a(24) =636200a(25) =1029412a(26) =1665644a(27) =2695089a(28) =4360767a(29) =7055891

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