The decomposition of a certain labeled universe (A052584), triangle read by rows.

Terms

a(0) =2a(1) =2a(2) =4a(3) =2a(4) =12a(5) =16a(6) =0a(7) =24a(8) =96a(9) =96a(10) =-8a(11) =0a(12) =320a(13) =960a(14) =768a(15) =0a(16) =-240a(17) =0a(18) =4800a(19) =11520a(20) =7680a(21) =240a(22) =0a(23) =-6720a(24) =0a(25) =80640a(26) =161280a(27) =92160a(28) =0a(29) =13440