Binomial transform of A000011.

Terms

a(0) =1a(1) =2a(2) =5a(3) =12a(4) =29a(5) =70a(6) =169a(7) =409a(8) =995a(9) =2439a(10) =6033a(11) =15068a(12) =38005a(13) =96807a(14) =249049a(15) =647137a(16) =1698303a(17) =4500410a(18) =12038113a(19) =32489271a(20) =88423967a(21) =242549338a(22) =670146047a(23) =1863859739a(24) =5215185383a(25) =14671904315a(26) =41478618523a(27) =117776926366a(28) =335729266137