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.

A294552

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) =12a(3) =26a(4) =53a(5) =97a(6) =171a(7) =292a(8) =490a(9) =812a(10) =1336a(11) =2186a(12) =3563a(13) =5793a(14) =9403a(15) =15246a(16) =24702a(17) =40004a(18) =64765a(19) =104831a(20) =169661a(21) =274560a(22) =444292a(23) =718927a(24) =1163298a(25) =1882307a(26) =3045690a(27) =4928085a(28) =7973866a(29) =12902045

External references