Number of nonnegative lattice paths from (0,0) to (n,0) where the allowed steps at (x,y) are (1,v) with v in {-1,0,...,max(y,1)}.

A333105

Number of nonnegative lattice paths from (0,0) to (n,0) where the allowed steps at (x,y) are (1,v) with v in {-1,0,...,max(y,1)}.

Terms

    a(0) =1a(1) =1a(2) =2a(3) =4a(4) =9a(5) =21a(6) =51a(7) =128a(8) =331a(9) =880a(10) =2402a(11) =6724a(12) =19285a(13) =56612a(14) =169908a(15) =520723a(16) =1627477a(17) =5180064a(18) =16766824a(19) =55112302a(20) =183710312a(21) =620213500a(22) =2118094664a(23) =7309077920a(24) =25459737905a(25) =89438446602a(26) =316606738516

External references