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

A296258

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

Terms

    a(0) =1a(1) =3a(2) =8a(3) =27a(4) =60a(5) =123a(6) =232a(7) =436a(8) =768a(9) =1325a(10) =2237a(11) =3731a(12) =6164a(13) =10120a(14) =16540a(15) =26949a(16) =43813a(17) =71123a(18) =115336a(19) =186900a(20) =302720a(21) =490149a(22) =793445a(23) =1284219a(24) =2078340a(25) =3363343a(26) =5442524a(27) =8806767a(28) =14250252a(29) =23058043

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