Sequences counting and ranking compositions by their leaders (for six types of runs).

by Gus Wiseman

July 19, 2024


                             constant  anti-run  wk-incr   str-incr  wk-decr   str-decr
                         +--------------------------------------------------------------
                         |
   counted by leader sum |   A373949   A374521   A374637   A374700   A374748   A374766
                         |
         leaders by rank |   A374251   A374515   A374629   A374683   A374740   A374757
                         |
  sum of leaders by rank |   A373953   A374516   A374630   A374684   A374741   A374758
                         |
        distinct leaders |   A274174   A374518   A374632   A374687   A374743   A374761
                         |
           equal leaders |   A000005   A374517   A374631   A374686   A374742   A374760
                         |
  distinct leaders ranks |   A374249   A374638   A374768   A374698   A374701   A374767
                         |
     equal leaders ranks |   A272919   A374519   A374633   A374685   A374744   A374759
                         |
     strict incr leaders |   A000041   A374679   A374634   A374688   A374745   A374762
                         |
     strict decr leaders |   A000041   A374680   A188920   A374689   A374746   A374763
                         |
       weak incr leaders |   A000041   A374681   A374635   A374690   A188900   A374764
                         |
       weak decr leaders |   A000041   A374682   A189076   A374697   A374747   A374765
                         |


Latest version: https://docs.google.com/document/d/e/2PACX-1vRkkaooV7gxi5n9R0QrJw-mtJPPeB-7e9YTYQGTe37L1-lh-6r8xJ0LjGB0Z1XnHSr_e-38ATfpPl6z/pub