Binomial transform of Padovan sequence A000931.

Terms

a(0) =1a(1) =1a(2) =1a(3) =2a(4) =5a(5) =12a(6) =28a(7) =65a(8) =151a(9) =351a(10) =816a(11) =1897a(12) =4410a(13) =10252a(14) =23833a(15) =55405a(16) =128801a(17) =299426a(18) =696081a(19) =1618192a(20) =3761840a(21) =8745217a(22) =20330163a(23) =47261895a(24) =109870576a(25) =255418101a(26) =593775046a(27) =1380359512a(28) =3208946545a(29) =7459895657