Triangular vector sequence as weighted conversion between A137286 and A049310.

Terms

a(0) =1a(1) =0a(2) =2a(3) =8a(4) =0a(5) =4a(6) =0a(7) =20a(8) =0a(9) =8a(10) =128a(11) =0a(12) =48a(13) =0a(14) =16a(15) =0a(16) =352a(17) =0a(18) =112a(19) =0a(20) =32a(21) =3072a(22) =0a(23) =928a(24) =0a(25) =256a(26) =0a(27) =64a(28) =0a(29) =8928