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

A296557

Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n) - 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) =6a(3) =11a(4) =21a(5) =36a(6) =61a(7) =102a(8) =168a(9) =275a(10) =448a(11) =728a(12) =1181a(13) =1914a(14) =3100a(15) =5019a(16) =8125a(17) =13150a(18) =21281a(19) =34437a(20) =55724a(21) =90167a(22) =145897a(23) =236070a(24) =381973a(25) =618049a(26) =1000028a(27) =1618083a(28) =2618117a(29) =4236206

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