Number of lattice paths from (0,0) to (n,0) that do not go below the x-axis or above the diagonal x=y and consist of steps U=(1,1), D=(1,-1) and S=(0,1).
A198324
Number of lattice paths from (0,0) to (n,0) that do not go below the x-axis or above the diagonal x=y and consist of steps U=(1,1), D=(1,-1) and S=(0,1).
Terms
- a(0) =1a(1) =0a(2) =1a(3) =1a(4) =4a(5) =10a(6) =35a(7) =116a(8) =427a(9) =1584a(10) =6146a(11) =24216a(12) =97754a(13) =400080a(14) =1662645a(15) =6986127a(16) =29669872a(17) =127101015a(18) =548839687a(19) =2386211664a(20) =10439207266a(21) =45920497075a(22) =203004397362a(23) =901459381683
External references
- oeis: A198324