Number of regions after n generations of Jim Conant's iterative dissection of a square.

Terms

a(0) =1a(1) =2a(2) =3a(3) =5a(4) =9a(5) =15a(6) =27a(7) =48a(8) =91a(9) =169a(10) =325a(11) =618a(12) =1201a(13) =2319a(14) =4527a(15) =8804a(16) =17227a(17) =33649a(18) =65929a(19) =129046a(20) =252997a(21) =495779a(22) =972339a(23) =1906520a(24) =3739775a(25) =7335029a(26) =14389629a(27) =28227578a(28) =55378713a(29) =108642983