Powers of sqrt(14) rounded down.

Terms

a(0) =1a(1) =3a(2) =14a(3) =52a(4) =196a(5) =733a(6) =2744a(7) =10267a(8) =38416a(9) =143739a(10) =537824a(11) =2012353a(12) =7529536a(13) =28172943a(14) =105413504a(15) =394421215a(16) =1475789056a(17) =5521897022a(18) =20661046784a(19) =77306558317a(20) =289254654976