G.f.: 1/(1-x) = (1-x*y) * Sum_{k>=0} Sum_{n>=k} T(n,k)*x^n*y^k/(1+x)^(2^n-2^k).

Terms

a(0) =1a(1) =1a(2) =1a(3) =2a(4) =1a(5) =1a(6) =6a(7) =3a(8) =1a(9) =1a(10) =32a(11) =16a(12) =5a(13) =1a(14) =1a(15) =332a(16) =166a(17) =51a(18) =9a(19) =1a(20) =1a(21) =6928a(22) =3464a(23) =1059a(24) =181a(25) =17a(26) =1a(27) =1a(28) =292334a(29) =146167