Product matrix [C(k,n-k)]*A001263.

Terms

a(0) =1a(1) =1a(2) =1a(3) =2a(4) =4a(5) =1a(6) =3a(7) =12a(8) =8a(9) =1a(10) =5a(11) =31a(12) =39a(13) =13a(14) =1a(15) =8a(16) =73a(17) =148a(18) =93a(19) =19a(20) =1a(21) =13a(22) =162a(23) =481a(24) =486a(25) =186a(26) =26a(27) =1a(28) =21a(29) =344