Solution of the complementary equation a(n) = a(n-1) + a(n-2) + n*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.

A296293

Solution of the complementary equation a(n) = a(n-1) + a(n-2) + n*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) =13a(3) =33a(4) =74a(5) =147a(6) =275a(7) =492a(8) =855a(9) =1455a(10) =2450a(11) =4070a(12) =6712a(13) =11003a(14) =17967a(15) =29255a(16) =47542a(17) =77154a(18) =125092a(19) =202683a(20) =328255a(21) =531463a(22) =860290a(23) =1392374a(24) =2253336a(25) =3646435a(26) =5900551a(27) =9547823a(28) =15449270a(29) =24998079

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