Number of weak peaks in all weighted lattice paths in B(n).

Terms

a(0) =0a(1) =0a(2) =0a(3) =1a(4) =4a(5) =14a(6) =43a(7) =123a(8) =337a(9) =898a(10) =2349a(11) =6072a(12) =15577a(13) =39776a(14) =101304a(15) =257689a(16) =655279a(17) =1666772a(18) =4242354a(19) =10807191a(20) =27557720a(21) =70342486a(22) =179736541a(23) =459714008a(24) =1176937542a(25) =3015862454a(26) =7734617111a(27) =19852352861a(28) =50992757233a(29) =131071123062