a(n) = Sum_{k=0..n} 2^k*A124526(n,k) for n>=0.

Terms

a(0) =1a(1) =1a(2) =3a(3) =8a(4) =26a(5) =94a(6) =377a(7) =1639a(8) =7623a(9) =38034a(10) =199338a(11) =1111816a(12) =6442481a(13) =39478219a(14) =249507483a(15) =1659172454a(16) =11321526022a(17) =80944313164a(18) =591617080305