A054523^24 * A000594.

Terms

a(0) =1a(1) =0a(2) =300a(3) =-1724a(4) =4926a(5) =0a(6) =-16600a(7) =44600a(8) =-100299a(9) =0a(10) =534852a(11) =-517200a(12) =-577450a(13) =0a(14) =1477800a(15) =2486626a(16) =-6905550a(17) =0a(18) =10661852a(19) =-8492424a(20) =-4980000a(21) =0a(22) =18643800a(23) =13380000a(24) =-25030649a(25) =0a(26) =-78396200a(27) =28618400a(28) =128407302a(29) =0