cp's OEIS Frontend

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.

%I A106178 #5 Nov 23 2013 17:34:54
%S A106178 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,
%T A106178 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,
%U A106178 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
%N 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.
%C A106178 This sequence is derived from A106177 by removing the "obvious" values of 1 at the margins of the triangular array.
%H A106178 J. Awbrey, <a href="https://oeis.org/wiki/Riffs_and_Rotes">Riffs and Rotes</a>
%e A106178 ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` n o m
%e A106178 ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` `\ /
%e A106178 ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` 1 . 1
%e A106178 ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` `\ / \ /
%e A106178 ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` 2 . ` . 2
%e A106178 ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` `\ / \ / \ /
%e A106178 ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` 3 . ` . ` . 3
%e A106178 ` ` ` ` ` ` ` ` ` ` ` ` ` ` `\ / \ / \ / \ /
%e A106178 ` ` ` ` ` ` ` ` ` ` ` ` ` ` 4 . ` . 2 . ` . 4
%e A106178 ` ` ` ` ` ` ` ` ` ` ` ` ` `\ / \ / \ / \ / \ /
%e A106178 ` ` ` ` ` ` ` ` ` ` ` ` ` 5 . ` . 3 . 1 . ` . 5
%e A106178 ` ` ` ` ` ` ` ` ` ` ` ` `\ / \ / \ / \ / \ / \ /
%e A106178 ` ` ` ` ` ` ` ` ` ` ` ` 6 . ` . 1 . 1 . 4 . ` . 6
%e A106178 ` ` ` ` ` ` ` ` ` ` ` `\ / \ / \ / \ / \ / \ / \ /
%e A106178 ` ` ` ` ` ` ` ` ` ` ` 7 . ` . 5 . 2 . 9 . 1 . ` . 7
%e A106178 ` ` ` ` ` ` ` ` ` ` `\ / \ / \ / \ / \ / \ / \ / \ /
%e A106178 ` ` ` ` ` ` ` ` ` ` 8 . ` . 6 . 1 . 1 . 1 . 2 . ` . 8
%e A106178 ` ` ` ` ` ` ` ` ` `\ / \ / \ / \ / \ / \ / \ / \ / \ /
%e A106178 ` ` ` ` ` ` ` ` ` 9 . ` . 7 . 1 . 25. 1 . 3 . 1 . ` . 9
%e A106178 ` ` ` ` ` ` ` ` `\ / \ / \ / \ / \ / \ / \ / \ / \ / \ /
%e A106178 ` ` ` ` ` ` ` `10 . ` . 1 . 1 . 36. 1 . 2 . 1 . 8 . ` . 10
%e A106178 ` ` ` ` ` ` ` `\ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ /
%e A106178 ` ` ` ` ` ` `11 . ` . 1 . 1 . 49. 1 . 5 . 1 . 27. 1 . ` . 11
%e A106178 ` ` ` ` ` ` `\ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ /
%e A106178 ` ` ` ` ` `12 . ` . 10. 3 . 1 . 1 . 6 . 1 . 1 . 1 . 2 . ` . 12
%e A106178 ` ` ` ` ` `\ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ /
%e A106178 ` ` ` ` `13 . ` . 11. 1 . 1 . 2 . 7 . 1 .125. 4 . 3 . 1 . ` . 13
%e A106178 ` ` ` ` `\ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ /
%e A106178 ` ` ` `14 . ` . 3 . 1 .100. 1 . 1 . 1 .216. 1 . 1 . 1 . 4 . ` . 14
%e A106178 ` ` ` `\ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ /
%e A106178 ` ` `15 . ` . 13. 2 .121. 1 . 3 . 1 .343. 1 . 5 . 1 . 9 . 1 . ` . 15
%e A106178 ` ` `\ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ /
%e A106178 ` `16 . ` . 14. 1 . 9 . 1 . 10. 1 . 1 . 1 . 6 . 1 . 2 . 1 . 2 . ` . 16
%Y A106178 Cf. A106177, A061396, A062504, A062537, A062860.
%K A106178 nonn,tabl
%O A106178 2,1
%A A106178 _Jon Awbrey_, May 28 2005