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

A294547

Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n-1) + 2n, 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) =1249a(11) =2044a(12) =3332a(13) =5418a(14) =8795a(15) =14261a(16) =23107a(17) =37422a(18) =60586a(19) =98068a(20) =158717a(21) =256852a(22) =415639a(23) =672564a(24) =1088279a(25) =1760922a(26) =2849283a(27) =4610290a(28) =7459661a(29) =12070042

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