login
A106178
Functional composition table for "n o m" = "n composed with m", where n and m are the "primal codes" of finite partial functions on the positive integers and 1 is the code for the empty function, but omitting the trivial values of 1 at the margins of the table.
11
2, 3, 1, 1, 1, 4, 5, 2, 9, 1, 6, 1, 1, 1, 2, 7, 1, 25, 1, 3, 1, 1, 1, 36, 1, 2, 1, 8, 1, 1, 49, 1, 5, 1, 27, 1, 10, 3, 1, 1, 6, 1, 1, 1, 2, 11, 1, 1, 2, 7, 1, 125, 4, 3, 1, 3, 1, 100, 1, 1, 1, 216, 1, 1, 1, 4, 13, 2, 121, 1, 3, 1, 343, 1, 5, 1, 9, 1, 14, 1, 9, 1, 10, 1, 1, 1, 6, 1, 2, 1, 2
OFFSET
2,1
COMMENTS
This sequence is derived from A106177 by removing the "obvious" values of 1 at the margins of the triangular array.
EXAMPLE
` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` n o m
` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` `\ /
` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` 1 . 1
` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` `\ / \ /
` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` 2 . ` . 2
` ` ` ` ` ` ` ` ` ` ` ` ` ` ` `\ / \ / \ /
` ` ` ` ` ` ` ` ` ` ` ` ` ` ` 3 . ` . ` . 3
` ` ` ` ` ` ` ` ` ` ` ` ` ` `\ / \ / \ / \ /
` ` ` ` ` ` ` ` ` ` ` ` ` ` 4 . ` . 2 . ` . 4
` ` ` ` ` ` ` ` ` ` ` ` ` `\ / \ / \ / \ / \ /
` ` ` ` ` ` ` ` ` ` ` ` ` 5 . ` . 3 . 1 . ` . 5
` ` ` ` ` ` ` ` ` ` ` ` `\ / \ / \ / \ / \ / \ /
` ` ` ` ` ` ` ` ` ` ` ` 6 . ` . 1 . 1 . 4 . ` . 6
` ` ` ` ` ` ` ` ` ` ` `\ / \ / \ / \ / \ / \ / \ /
` ` ` ` ` ` ` ` ` ` ` 7 . ` . 5 . 2 . 9 . 1 . ` . 7
` ` ` ` ` ` ` ` ` ` `\ / \ / \ / \ / \ / \ / \ / \ /
` ` ` ` ` ` ` ` ` ` 8 . ` . 6 . 1 . 1 . 1 . 2 . ` . 8
` ` ` ` ` ` ` ` ` `\ / \ / \ / \ / \ / \ / \ / \ / \ /
` ` ` ` ` ` ` ` ` 9 . ` . 7 . 1 . 25. 1 . 3 . 1 . ` . 9
` ` ` ` ` ` ` ` `\ / \ / \ / \ / \ / \ / \ / \ / \ / \ /
` ` ` ` ` ` ` `10 . ` . 1 . 1 . 36. 1 . 2 . 1 . 8 . ` . 10
` ` ` ` ` ` ` `\ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ /
` ` ` ` ` ` `11 . ` . 1 . 1 . 49. 1 . 5 . 1 . 27. 1 . ` . 11
` ` ` ` ` ` `\ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ /
` ` ` ` ` `12 . ` . 10. 3 . 1 . 1 . 6 . 1 . 1 . 1 . 2 . ` . 12
` ` ` ` ` `\ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ /
` ` ` ` `13 . ` . 11. 1 . 1 . 2 . 7 . 1 .125. 4 . 3 . 1 . ` . 13
` ` ` ` `\ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ /
` ` ` `14 . ` . 3 . 1 .100. 1 . 1 . 1 .216. 1 . 1 . 1 . 4 . ` . 14
` ` ` `\ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ /
` ` `15 . ` . 13. 2 .121. 1 . 3 . 1 .343. 1 . 5 . 1 . 9 . 1 . ` . 15
` ` `\ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ /
` `16 . ` . 14. 1 . 9 . 1 . 10. 1 . 1 . 1 . 6 . 1 . 2 . 1 . 2 . ` . 16
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Jon Awbrey, May 28 2005
STATUS
approved