Binomial transform of A002024.

Terms

a(0) =1a(1) =3a(2) =7a(3) =16a(4) =36a(5) =79a(6) =170a(7) =362a(8) =767a(9) =1619a(10) =3402a(11) =7112a(12) =14797a(13) =30673a(14) =63427a(15) =130951a(16) =270031a(17) =556111a(18) =1143537a(19) =2347476a(20) =4810758a(21) =9843932a(22) =20118655a(23) =41081297a(24) =83832648a(25) =170987463a(26) =348581862a(27) =710242310a(28) =1446198858