Number of lattice paths from (0,0) to (n,0) that do not go below the x-axis, and at (x,y) only allow steps (1,v) with v in {-1,0,1,...,y+1}.

A333069

Number of lattice paths from (0,0) to (n,0) that do not go below the x-axis, and at (x,y) only allow steps (1,v) with v in {-1,0,1,...,y+1}.

Terms

    a(0) =1a(1) =1a(2) =2a(3) =4a(4) =9a(5) =22a(6) =57a(7) =155a(8) =439a(9) =1287a(10) =3886a(11) =12035a(12) =38100a(13) =122943a(14) =403410a(15) =1343321a(16) =4531710a(17) =15465414a(18) =53325680a(19) =185575269a(20) =651191826a(21) =2302247822a(22) =8194892393a(23) =29350405663a(24) =105713021575a(25) =382717065800

External references