Sum of the heights of all nonnegative lattice paths from (0,0) to (n,0) where the allowed steps at (x,y) are (1,v) with v in {-1,0,...,max(y,1)}.

A333608

Sum of the heights of all nonnegative lattice paths from (0,0) to (n,0) where the allowed steps at (x,y) are (1,v) with v in {-1,0,...,max(y,1)}.

Terms

    a(0) =0a(1) =0a(2) =1a(3) =3a(4) =9a(5) =25a(6) =70a(7) =200a(8) =584a(9) =1742a(10) =5304a(11) =16471a(12) =52120a(13) =167885a(14) =549856a(15) =1828897a(16) =6170108a(17) =21087458a(18) =72923515a(19) =254880303a(20) =899454849a(21) =3201729220a(22) =11486266036a(23) =41497996004a(24) =150879471934a(25) =551723923040

External references