Row sums of A117488 which has 1, 3, 5, 7, ... entries per row.

Terms

a(0) =1a(1) =6a(2) =30a(3) =115a(4) =374a(5) =1079a(6) =2848a(7) =7005a(8) =16285a(9) =36117a(10) =76981a(11) =158563a(12) =317014a(13) =617349a(14) =1174400a(15) =2187584a(16) =3998057a(17) =7181362a(18) =12696179a(19) =22120549a(20) =38023748a(21) =64546190a(22) =108296742a(23) =179729895a(24) =295244362a(25) =480358370a(26) =774483006a(27) =1238052200