

A089839


Array A(x,y): (read as A(0,0), A(1,0), A(0,1), A(2,0), A(1,1), A(0,2), A(3,0), A(2,1), A(1,2), A(0,3),...) Position of the composition A089840[y] o A089840[x] in the table A089840.


20



0, 1, 1, 2, 0, 2, 3, 14, 19, 3, 4, 15, 0, 21, 4, 5, 16, 6, 4, 17, 5, 6, 13, 5, 0, 3, 18, 6, 7, 12, 4, 2, 5, 6, 20, 7, 8, 21, 3, 6, 6, 4, 5, 15, 8, 9, 18, 1654606, 5, 2, 3, 2, 1654137, 13, 9, 10, 17, 1655095, 1654694, 0, 0, 0, 1654694, 1654255, 16, 10
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OFFSET

0,4


COMMENTS

This is a "multiplication table" of an infinite enumerable group. Each row and column is a permutation of A001477.


LINKS

Table of n, a(n) for n=0..65.
A. Karttunen, Cprogram for computing the elements of this table


EXAMPLE

A(2,1)=14 because A089840[2] = A072796, A089840[1] = A069770 and the composition A069770 o A072796 (here the right hand side permutation acts first) yields A073269 = A089840[14]. Similarly A(2,2)=0, as A089840[2] = A072796, which being an involution, yields A001477 (= A089840[0]) when "squared".


CROSSREFS

Column 1: A089837, row 1: A089838, the main diagonal: A089841.
Sequence in context: A072514 A071547 A220222 * A206823 A151668 A086151
Adjacent sequences: A089836 A089837 A089838 * A089840 A089841 A089842


KEYWORD

nonn,tabl


AUTHOR

Antti Karttunen, Dec 05 2003


STATUS

approved



