Triangle read by rows: T(n, k) = binomial(n+k, n-k)/(2*k + 1) * (2*n + 1)^k.

Terms

a(0) =1a(1) =1a(2) =1a(3) =1a(4) =5a(5) =5a(6) =1a(7) =14a(8) =49a(9) =49a(10) =1a(11) =30a(12) =243a(13) =729a(14) =729a(15) =1a(16) =55a(17) =847a(18) =5324a(19) =14641a(20) =14641a(21) =1a(22) =91a(23) =2366a(24) =26364a(25) =142805a(26) =371293a(27) =371293a(28) =1a(29) =140