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Number of strings of numbers x(i=1..6) in 0..n with sum i^2*x(i)^3 equal to 36*n^3
1

%I #5 Mar 31 2012 12:35:59

%S 1,2,2,5,5,11,7,18,15,26,37,47,50,63,80,93,112,116,141,169,165,219,

%T 220,259,291,343,358,376,464,527,522,596,621,735,809,781,941,979,1007,

%U 1195,1217,1277,1297,1495,1528,1688,1810,1826,1966,2151,2205,2375,2474,2625

%N Number of strings of numbers x(i=1..6) in 0..n with sum i^2*x(i)^3 equal to 36*n^3

%C Row 6 of A184318

%H R. H. Hardin, <a href="/A184321/b184321.txt">Table of n, a(n) for n = 1..72</a>

%e All solutions for n=5

%e ..2....0....0....0....0

%e ..5....1....2....0....3

%e ..2....4....3....0....3

%e ..1....1....2....0....4

%e ..4....4....5....0....5

%e ..4....4....3....5....0

%K nonn

%O 1,2

%A _R. H. Hardin_ Jan 10 2011