Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n-1) + b(n-2) + b(n-3), where a(0) = 1, a(1) = 2, a[2] = 3, b(0) = 4, b(1) = 5, b(2) = 6, and (a(n)) and (b(n)) are increasing complementary sequences.

A295365

Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n-1) + b(n-2) + b(n-3), where a(0) = 1, a(1) = 2, a[2] = 3, b(0) = 4, b(1) = 5, b(2) = 6, and (a(n)) and (b(n)) are increasing complementary sequences.

Terms

    a(0) =1a(1) =2a(2) =3a(3) =20a(4) =41a(5) =82a(6) =147a(7) =256a(8) =433a(9) =722a(10) =1191a(11) =1952a(12) =3185a(13) =5182a(14) =8415a(15) =13648a(16) =22117a(17) =35823a(18) =58002a(19) =93891a(20) =151962a(21) =245925a(22) =397962a(23) =643965a(24) =1042008a(25) =1686057a(26) =2728152a(27) =4414299a(28) =7142544a(29) =11556939

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