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Number of strings of numbers x(i=1..7) in 0..n with sum i^3*x(i) equal to 343*n
1

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

%S 1,5,15,47,135,333,739,1500,2816,4959,8345,13493,21012,31756,46768,

%T 67237,94706,130980,178144,238696,315453,411763,531412,678795,858729,

%U 1076793,1339208,1652778,2025386,2465506,2982503,3586917,4290118,5104643,6044244

%N Number of strings of numbers x(i=1..7) in 0..n with sum i^3*x(i) equal to 343*n

%C Row 7 of A184257

%H R. H. Hardin, <a href="/A184262/b184262.txt">Table of n, a(n) for n = 1..200</a>

%e Some solutions for n=5

%e ..2....4....2....2....2....3....4....4....4....1....5....5....5....1....5....0

%e ..5....5....5....5....5....2....4....3....5....5....1....1....4....0....4....4

%e ..3....1....1....0....4....3....0....0....2....3....5....4....1....0....3....5

%e ..3....1....1....0....5....3....4....3....2....5....4....3....3....2....5....0

%e ..5....4....3....2....0....0....0....2....5....5....5....4....1....1....3....1

%e ..2....5....4....5....1....5....5....1....4....3....0....1....3....2....1....5

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

%K nonn

%O 1,2

%A _R. H. Hardin_ Jan 10 2011