Transform of 2^n by the aerated Catalan triangle A165408.

Terms

a(0) =1a(1) =2a(2) =4a(3) =10a(4) =24a(5) =56a(6) =136a(7) =328a(8) =784a(9) =1896a(10) =4576a(11) =11008a(12) =26592a(13) =64192a(14) =154752a(15) =373696a(16) =902144a(17) =2176640a(18) =5255424a(19) =12687488a(20) =30621952a(21) =73931392a(22) =178484736a(23) =430845952a(24) =1040176640a(25) =2511199232a(26) =6062209024a(27) =14635617280a(28) =35333443584a(29) =85300015104