Total number of nodes summed over all 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}.
A333070
Total number of nodes summed over all 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) =2a(2) =6a(3) =16a(4) =45a(5) =132a(6) =399a(7) =1240a(8) =3951a(9) =12870a(10) =42746a(11) =144420a(12) =495300a(13) =1721202a(14) =6051150a(15) =21493136a(16) =77039070a(17) =278377452a(18) =1013187920a(19) =3711505380a(20) =13675028346a(21) =50649452084a(22) =188482525039a(23) =704409735912
External references
- oeis: A333070