Triangle T(n,k) = A008517(n,k+1)+A008517(n,n+1-k) read by rows.

Terms

a(0) =2a(1) =1a(2) =1a(3) =1a(4) =4a(5) =1a(6) =1a(7) =14a(8) =14a(9) =1a(10) =1a(11) =46a(12) =116a(13) =46a(14) =1a(15) =1a(16) =172a(17) =772a(18) =772a(19) =172a(20) =1a(21) =1a(22) =834a(23) =5160a(24) =8800a(25) =5160a(26) =834a(27) =1a(28) =1a(29) =5280