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.

A296556

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) =11a(3) =23a(4) =45a(5) =81a(6) =141a(7) =239a(8) =400a(9) =661a(10) =1085a(11) =1772a(12) =2885a(13) =4687a(14) =7604a(15) =12325a(16) =19965a(17) =32328a(18) =52333a(19) =84704a(20) =137082a(21) =221833a(22) =358964a(23) =580848a(24) =939865a(25) =1520768a(26) =2460690a(27) =3981517a(28) =6442268a(29) =10423848

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