Numerator coefficients for generators of lattice path enumeration square array A111910.

Terms

a(0) =1a(1) =1a(2) =1a(3) =1a(4) =7a(5) =7a(6) =1a(7) =1a(8) =20a(9) =75a(10) =75a(11) =20a(12) =1a(13) =1a(14) =42a(15) =364a(16) =1001a(17) =1001a(18) =364a(19) =42a(20) =1a(21) =1a(22) =75a(23) =1212a(24) =6720a(25) =15288a(26) =15288a(27) =6720a(28) =1212a(29) =75