a(n)=sum{k=0..floor(n/2), C(n,2k)*A000108(floor(k/2))}. Inverse binomial transform is aeration of doubled Catalan numbers.

A157021

a(n)=sum{k=0..floor(n/2), C(n,2k)*A000108(floor(k/2))}. Inverse binomial transform is aeration of doubled Catalan numbers.

Terms

    a(0) =1a(1) =1a(2) =2a(3) =4a(4) =8a(5) =16a(6) =32a(7) =64a(8) =129a(9) =265a(10) =558a(11) =1200a(12) =2613a(13) =5721a(14) =12564a(15) =27702a(16) =61419a(17) =136987a(18) =307086a(19) =691012a(20) =1559430a(21) =3528310a(22) =8003808a(23) =18203788a(24) =41504967a(25) =94842031a(26) =217147258a(27) =498061096a(28) =1144296424a(29) =2633227232

External references