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

A294557

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

Terms

    a(0) =1a(1) =2a(2) =11a(3) =24a(4) =49a(5) =90a(6) =159a(7) =272a(8) =457a(9) =759a(10) =1250a(11) =2046a(12) =3336a(13) =5425a(14) =8807a(15) =14281a(16) =23140a(17) =37476a(18) =60674a(19) =98211a(20) =158949a(21) =257228a(22) =416249a(23) =673552a(24) =1089879a(25) =1763512a(26) =2853475a(27) =4617074a(28) =7470639a(29) =12087806

External references