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

A296558

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

Terms

    a(0) =1a(1) =3a(2) =7a(3) =13a(4) =24a(5) =41a(6) =69a(7) =114a(8) =187a(9) =306a(10) =498a(11) =809a(12) =1312a(13) =2126a(14) =3443a(15) =5574a(16) =9022a(17) =14601a(18) =23628a(19) =38235a(20) =61869a(21) =100110a(22) =161985a(23) =262101a(24) =424092a(25) =686199a(26) =1110297a(27) =1796502a(28) =2906805a(29) =4703313

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