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

0,4

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, C-program 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 A335407 A151668

Adjacent sequences: A089836 A089837 A089838 * A089840 A089841 A089842

Keyword

nonn,tabl

Author

Antti Karttunen, Dec 05 2003

Status

approved