Number of nonnegative lattice paths from (0,0) to (n,0) such that slopes of adjacent steps differ by at most one, assuming zero slope before and after the paths.

A333647

Number of nonnegative lattice paths from (0,0) to (n,0) such that slopes of adjacent steps differ by at most one, assuming zero slope before and after the paths.

Terms

    a(0) =1a(1) =1a(2) =1a(3) =2a(4) =4a(5) =8a(6) =16a(7) =34a(8) =74a(9) =169a(10) =397a(11) =953a(12) =2319a(13) =5732a(14) =14370a(15) =36466a(16) =93468a(17) =241767a(18) =630499a(19) =1656372a(20) =4380128a(21) =11652459a(22) =31168689a(23) =83788315a(24) =226272531a(25) =613632359a(26) =1670604607a(27) =4564607998a(28) =12513715526a(29) =34412992018

External references