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removed some superfluous spaces that made the bottom two rows not look triangle-like any more. Now it looks better (at least in chrome on windows 7)
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edit approved May 11, 2017 at 8:46
Vincent
edit approved May 11, 2017 at 8:46
Vincent
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(You should draw the sequence as a triangle as below to get the 2-dimensional information.)

                                            1                                           
                                        1       0                                       
                                    1       1       0                                   
                                1       1       1       0                               
                            1       2       2       1       0                           
                        1       3       4       2       1       0                       
                    1       4       8       6       3       1       0                   
                1       5       14      14      9       3       1       0               
            1       7       23      32      26      12      4       1       0           
        1       8       36      64      66      39      16      4       1       0       
    1       10      54      123         158         119         60      20      5       1       0   
1       12      78      219         350         325         202         83      25      5       1       0

(You should draw the sequence as a triangle to get the 2-dimensional information.)

                                            1                                           
                                        1       0                                       
                                    1       1       0                                   
                                1       1       1       0                               
                            1       2       2       1       0                           
                        1       3       4       2       1       0                       
                    1       4       8       6       3       1       0                   
                1       5       14      14      9       3       1       0               
            1       7       23      32      26      12      4       1       0           
        1       8       36      64      66      39      16      4       1       0       
    1       10      54      123         158         119         60      20      5       1       0   
1       12      78      219         350         325         202         83      25      5       1       0

(You should draw the sequence as a triangle as below to get the 2-dimensional information.)

                                            1                                           
                                        1       0                                       
                                    1       1       0                                   
                                1       1       1       0                               
                            1       2       2       1       0                           
                        1       3       4       2       1       0                       
                    1       4       8       6       3       1       0                   
                1       5       14      14      9       3       1       0               
            1       7       23      32      26      12      4       1       0           
        1       8       36      64      66      39      16      4       1       0       
    1       10      54      123     158     119     60      20      5       1       0   
1       12      78      219     350     325     202     83      25      5       1       0
oeis links updated
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Max Alekseyev
Max Alekseyev
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OEIS: the triangle of trees with n nodes and k leavesOEIS: the triangle of trees with n nodes and k leaves

Edit: I edited to use a different representation of the data. I assume that the n-th row, k-th entry means the number of trees with n nodes and k leaves. See these other displaysthese other displays

OEIS: the triangle of trees with n nodes and k leaves

Edit: I edited to use a different representation of the data. I assume that the n-th row, k-th entry means the number of trees with n nodes and k leaves. See these other displays

OEIS: the triangle of trees with n nodes and k leaves

Edit: I edited to use a different representation of the data. I assume that the n-th row, k-th entry means the number of trees with n nodes and k leaves. See these other displays

Used a different triangle to represent the data.
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Joel David Hamkins
Joel David Hamkins
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1   1   1   1   1                                1                                           
                                        1       0                                       
                                    1       1       0                                   
                                1       1       1
        0   1   1   2   3   4   5   7   8   10  12  
0                            1       2   4   8 2  14  23  36 1 54  78    0                           
0                        1       3       4       2   6   14 1 32  64  123 219 0                       
0                    1       4       8       6       3   9   26 1 66  158 350   0                   
0                1       5       14      14      9       3   12  39  1191 325      0               
0   1   4   16  60 1 202      7       23      32      
026   1   412   20  83 4       1       0           
0        1   5   25 8       36      64      66      39     
  16      4       1       0       
    1   5    10      54      123         158         119  
        60      20      5       1       0    
1       12      78      219         350         325   
0      202         83      25      5       1       0

Edit: I edited to use a different representation of the data. I assume that the n-th row, k-th entry means the number of trees with n nodes and k leaves. See these other displays

1   1   1   1   1   1   1   1   1   1   1   1
 0   1   1   2   3   4   5   7   8   10  12  
0   1   2   4   8   14  23  36  54  78      
0   1   2   6   14  32  64  123 219             
0   1   3   9   26  66  158 350                 
0   1   3   12  39  119 325                     
0   1   4   16  60  202                         
0   1   4   20  83                          
0   1   5   25                              
 0   1   5                                   
 0   1                                       
0               

                                            1                                           
                                        1       0                                       
                                    1       1       0                                   
                                1       1       1       0                               
                            1       2       2       1       0                           
                        1       3       4       2       1       0                       
                    1       4       8       6       3       1       0                   
                1       5       14      14      9       3       1       0               
            1       7       23      32      26      12      4       1       0           
        1       8       36      64      66      39      16      4       1       0       
    1       10      54      123         158         119         60      20      5       1       0    
1       12      78      219         350         325         202         83      25      5       1       0

Edit: I edited to use a different representation of the data. I assume that the n-th row, k-th entry means the number of trees with n nodes and k leaves. See these other displays

Source Link
Joel David Hamkins
Joel David Hamkins
  • 236.3k
  • 44
  • 777
  • 1.4k