Triangle read by rows: entries give numbers of permutations of [1..n] by absolute barycenter.

Terms

a(0) =1a(1) =1a(2) =2a(3) =4a(4) =2a(5) =14a(6) =8a(7) =2a(8) =46a(9) =62a(10) =10a(11) =2a(12) =282a(13) =292a(14) =132a(15) =12a(16) =2a(17) =1394a(18) =2578a(19) =784a(20) =268a(21) =14a(22) =2a(23) =12658a(24) =15472a(25) =9718a(26) =1920a(27) =534a(28) =16a(29) =2