Total number of nodes summed over all 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.
A333680
Total number of nodes summed over all 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) =2a(2) =3a(3) =8a(4) =20a(5) =48a(6) =112a(7) =272a(8) =666a(9) =1690a(10) =4367a(11) =11436a(12) =30147a(13) =80248a(14) =215550a(15) =583456a(16) =1588956a(17) =4351806a(18) =11979481a(19) =33127440a(20) =91982688a(21) =256354098a(22) =716879847a(23) =2010919560a(24) =5656813275a(25) =15954441334a(26) =45106324389a(27) =127809023944a(28) =362897750254
External references
- oeis: A333680