Triangle read by rows: T(k,s) = binomial(k+s,2s+1)*(2k-1)*(2k+1)/(2s+3), k >= 1, 0 <= s <= k-1.

Terms

a(0) =1a(1) =10a(2) =3a(3) =35a(4) =28a(5) =5a(6) =84a(7) =126a(8) =54a(9) =7a(10) =165a(11) =396a(12) =297a(13) =88a(14) =9a(15) =286a(16) =1001a(17) =1144a(18) =572a(19) =130a(20) =11a(21) =455a(22) =2184a(23) =3510a(24) =2600a(25) =975a(26) =180a(27) =13a(28) =680a(29) =4284