Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n-1) + b(n-2) - 2*b(n-3), where a(0) = 1, a(1) = 3, a(2) = 5, b(0) = 2, b(1) = 4, b(2) = 6, and (a(n)) and (b(n)) are increasing complementary sequences.

A295359

Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n-1) + b(n-2) - 2*b(n-3), where a(0) = 1, a(1) = 3, a(2) = 5, b(0) = 2, b(1) = 4, b(2) = 6, and (a(n)) and (b(n)) are increasing complementary sequences.

Terms

    a(0) =1a(1) =3a(2) =5a(3) =14a(4) =24a(5) =41a(6) =68a(7) =112a(8) =183a(9) =298a(10) =484a(11) =786a(12) =1275a(13) =2064a(14) =3342a(15) =5409a(16) =8754a(17) =14166a(18) =22923a(19) =37092a(20) =60019a(21) =97116a(22) =157138a(23) =254257a(24) =411398a(25) =665658a(26) =1077059a(27) =1742720a(28) =2819782a(29) =4562505

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