%I
%S 1,1,9,1,2,108,1,2,5,1000,1,2,3,4,1012500,1,2,3,4,8,15552,1,2,3,4,5,6,
%T 25015118625000,1,2,3,4,5,6,11,17757684573750000,1,2,3,4,5,6,7,8,
%U 19699405917187500,1,2,3,4,5,6,7,8,14,295491088757812500,1,2,3,4,5,6,7
%N Triangle whose nth row contains the least set (ordered lexicographically) of n distinct positive integers whose arithmetic and geometric means are both integers.
%C Row n has the form {1,2,...,n2,x,y} where n1 <= x < y. x is minimal such that y exists.
%e The fourth row contains 1,2,5,1000, with AM=252 and GM=10. There is no set of the form {1,2,3,y} or {1,2,4,y} whose AM and GM are both integers.
%Y Cf. A080505, A081556, A080506, A080507, A080508, A080511.
%K nonn,tabl
%O 1,3
%A _Amarnath Murthy_, Mar 20 2003
