Sum of the heights of 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}.
A333504
Sum of the heights of 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) =0a(1) =0a(2) =1a(3) =3a(4) =9a(5) =28a(6) =88a(7) =282a(8) =921a(9) =3058a(10) =10302a(11) =35159a(12) =121406a(13) =423704a(14) =1493046a(15) =5307276a(16) =19014642a(17) =68609686a(18) =249149529a(19) =910000728a(20) =3341113126a(21) =12325295866a(22) =45664033813a(23) =169846998495a(24) =634020229888
External references
- oeis: A333504