Binomial transform of the periodic sequence with periodic pattern 1,1,1,0,0.

Terms

a(0) =1a(1) =2a(2) =4a(3) =7a(4) =11a(5) =17a(6) =29a(7) =58a(8) =129a(9) =292a(10) =639a(11) =1333a(12) =2666a(13) =5188a(14) =9999a(15) =19388a(16) =38166a(17) =76332a(18) =154261a(19) =312703a(20) =632171a(21) =1271107a(22) =2542214a(23) =5066717a(24) =10087066a(25) =20099107a(26) =40123189a(27) =80246378a(28) =160689174a(29) =321892577