The number of Motzkin n-paths with exactly one flat step.

Terms

a(0) =0a(1) =1a(2) =0a(3) =3a(4) =0a(5) =10a(6) =0a(7) =35a(8) =0a(9) =126a(10) =0a(11) =462a(12) =0a(13) =1716a(14) =0a(15) =6435a(16) =0a(17) =24310a(18) =0a(19) =92378a(20) =0a(21) =352716a(22) =0a(23) =1352078a(24) =0a(25) =5200300a(26) =0a(27) =20058300a(28) =0a(29) =77558760