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.

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

Offset: 0

Author

Antti Karttunen, Dec 05 2003

Keywords

• nonn
• tabl

Comments

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

Examples

			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".
		

Links

• A. Karttunen, C-program for computing the elements of this table

Crossrefs

Column 1: A089837, row 1: A089838, the main diagonal: A089841.