%I #5 Mar 30 2012 18:39:18

%S 0,0,1,2,2,1,2,1,0,1,2,0,1,0,1,2,5,4,5,2,1,2,5,2,2,4,4,1,2,5,0,1,6,5,

%T 4,1,2,5,7,2,2,4,2,8,1,2,5,6,5,6,7,0,1,0,1,2,5,5,10,7,10,5,8,7,5,1,2,

%U 5,4,5,2,1,8,5,10,5,8,1,2,5,3,0,1,7,11,11,9,0,1,0,1,2,5,2,9,4,11,8,9,12,9,2

%N Triangle in which row n gives periodic part of a certain map.

%C Let r(k,n)=floor(e*k!)-n*floor(e*k!/n) then for any n integer>0, sequence r(k,n) is n-periodic. Sequence gives periods of r(k,n) for fixed n.

%e If n=7, r(k,7) is sequence 2, 5, 2, 2, 4, 4, 1, 2, 5, 2, 2, 4, 4, 1, 2, 5, 2, 2, 4, 4, 1, 2, 5, 2, 2, 4, 4, 1, 2, 5...... 7-periodic with period: (2, 5, 2, 2, 4, 4, 1,)

%Y Cf. A084351.

%K nonn,tabl

%O 1,4

%A _Benoit Cloitre_, Jun 22 2003