a(n,m) tabl head (triangle) for  A116872;  TASEP T(1,2;n,n+m-1)


    n\m     1       2        3         4         5         6         7         8         9        10
        
                        
    1       1       0        0         0         0         0         0         0         0         0

    2       3       7        0         0         0         0         0         0         0         0

    3      13      29       41         0         0         0         0         0         0         0

    4      67     147      195       247         0         0         0         0         0         0

    5     381     829     1069      1277      1545         0         0         0         0         0

    6    2307    4995     6339      7379      8451      9975         0         0         0         0

    7   14589   31485    39549     45373     50733     56829     66057         0         0         0

    8   95235  205059   255747    290691    320707    351187    388099    446455         0         0

    9  636925 1369085  1698557   1918205   2098301   2268989   2453549   2686973   3067913         0

   10 4341763 9320451 11516931  12944643  14076675  15100803  16134339  17301459  18825219  21372919

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   Row sums give A116879:  [1,10,83,656,5101,39446,304615,2353180,18198497,140935202,...]


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