Total area under 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.

A333678

Total area under 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) =0a(1) =0a(2) =0a(3) =2a(4) =7a(5) =22a(6) =64a(7) =196a(8) =574a(9) =1762a(10) =5379a(11) =16378a(12) =49380a(13) =148892a(14) =449004a(15) =1353718a(16) =4076150a(17) =12267160a(18) =36903433a(19) =110979048a(20) =333628384a(21) =1002722482a(22) =3013085711a(23) =9052404522a(24) =27192329061a(25) =81671691634a(26) =245271884478a(27) =736513920180

External references