Number of Catalan paths (nonnegative, starting and ending at 0, step +-1) of 2*n steps with all values less than or equal to 7.

A080938

Number of Catalan paths (nonnegative, starting and ending at 0, step +-1) of 2*n steps with all values less than or equal to 7.

Terms

    a(0) =1a(1) =1a(2) =2a(3) =5a(4) =14a(5) =42a(6) =132a(7) =429a(8) =1429a(9) =4846a(10) =16645a(11) =57686a(12) =201158a(13) =704420a(14) =2473785a(15) =8704089a(16) =30664890a(17) =108126325a(18) =381478030a(19) =1346396146a(20) =4753200932a(21) =16783118309a(22) =59266297613a(23) =209302921830a(24) =739203970773

External references