Number of Motzkin excursions of length n with an odd number of humps and an even number of peaks.

Terms

a(0) =0a(1) =0a(2) =0a(3) =1a(4) =3a(5) =7a(6) =15a(7) =34a(8) =78a(9) =191a(10) =493a(11) =1324a(12) =3626a(13) =10032a(14) =27808a(15) =77045a(16) =213273a(17) =590475a(18) =1637117a(19) =4550836a(20) =12692866a(21) =35532414a(22) =99830094a(23) =281412535a(24) =795601139a(25) =2254966896a(26) =6405076658a(27) =18227600051a(28) =51960277037a(29) =148352016215