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

A294553

Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n-1) + b(n-2) - n, 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) =8a(3) =16a(4) =31a(5) =55a(6) =96a(7) =163a(8) =272a(9) =449a(10) =736a(11) =1201a(12) =1954a(13) =3174a(14) =5149a(15) =8345a(16) =13517a(17) =21886a(18) =35428a(19) =57340a(20) =92795a(21) =150163a(22) =242987a(23) =393180a(24) =636198a(25) =1029410a(26) =1665641a(27) =2695086a(28) =4360764a(29) =7055888

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