Number of distinct lattice points on the Lévy C curve after n iterations.

Terms

a(0) =2a(1) =3a(2) =5a(3) =9a(4) =16a(5) =30a(6) =57a(7) =111a(8) =214a(9) =416a(10) =809a(11) =1579a(12) =3073a(13) =5995a(14) =11697a(15) =22853a(16) =44650a(17) =87342a(18) =170937a(19) =334839a(20) =656199a(21) =1286913a(22) =2525057a(23) =4957333a(24) =9736760a(25) =19133868a(26) =37616337a(27) =73986039a(28) =145578997a(29) =286570159