Total area under 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)}.

A333107

Total area under 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) =4a(4) =16a(5) =56a(6) =190a(7) =637a(8) =2131a(9) =7156a(10) =24215a(11) =82758a(12) =285991a(13) =999715a(14) =3534394a(15) =12631420a(16) =45601759a(17) =166169360a(18) =610650687a(19) =2261234467a(20) =8430749631a(21) =31625520000a(22) =119281312293a(23) =452077280484

External references