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

A296252

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

Terms

    a(0) =1a(1) =3a(2) =20a(3) =48a(4) =104a(5) =201a(6) =369a(7) =651a(8) =1120a(9) =1892a(10) =3156a(11) =5217a(12) =8569a(13) =14011a(14) =22836a(15) =37136a(16) =60296a(17) =97793a(18) =158530a(19) =256807a(20) =415866a(21) =673249a(22) =1089740a(23) =1763665a(24) =2854134a(25) =4618583a(26) =7473558a(27) =12093041a(28) =19567560a(29) =31661625

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