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

A295615

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

Terms

    a(0) =2a(1) =4a(2) =6a(3) =15a(4) =33a(5) =68a(6) =130a(7) =237a(8) =417a(9) =716a(10) =1208a(11) =2013a(12) =3326a(13) =5461a(14) =8927a(15) =14547a(16) =23653a(17) =38400a(18) =62275a(19) =100920a(20) =163464a(21) =264678a(22) =428462a(23) =693487a(24) =1122324a(25) =1816215a(26) =2938973a(27) =4755653a(28) =7695123a(29) =12451307

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