A126988^12 * A000594.

Terms

a(0) =1a(1) =0a(2) =288a(3) =-1736a(4) =4890a(5) =0a(6) =-16660a(7) =44576a(8) =-103869a(9) =0a(10) =534744a(11) =-499968a(12) =-577582a(13) =0a(14) =1408320a(15) =2507344a(16) =-6905730a(17) =0a(18) =10661648a(19) =-8489040a(20) =-4798080a(21) =0a(22) =18643548a(23) =12837888a(24) =-25207475a(25) =0a(26) =-77183496a(27) =28921760a(28) =128406978a(29) =0