%I #4 Mar 31 2012 12:35:59
%S 1,1,1,1,3,7,69,574,3336,23562,140933,948340,5733551,37091416,
%T 225775799,1419329282,8589008422
%N Number of strings of numbers x(i=1..n) in 0..7 with sum i^2*x(i)^3 equal to n^2*343
%C Column 7 of A184318
%e All solutions for n=5
%e ..0....0....7
%e ..0....0....4
%e ..0....7....4
%e ..0....7....5
%e ..7....0....6
%K nonn
%O 1,5
%A _R. H. Hardin_ Jan 10 2011