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Number of strings of numbers x(i=1..n) in 0..8 with sum i*x(i)^3 equal to n*512.
1

%I #7 Mar 25 2022 18:07:48

%S 1,1,2,3,18,114,929,6939,49405,343061,2349749,15744977,103294333,

%T 664143853,4191000242,25991406059,158554966581,952308975542,

%U 5636023020692,32891357753442,189405665405678,1076880550812387

%N Number of strings of numbers x(i=1..n) in 0..8 with sum i*x(i)^3 equal to n*512.

%C Column 8 of A184720.

%H R. H. Hardin, <a href="/A184719/b184719.txt">Table of n, a(n) for n = 1..25</a>

%e Some solutions for n=5

%e ..7....0....3....0....6....2....7....4....7....7....0....8....3....0....6....3

%e ..0....8....0....0....7....8....8....4....1....3....1....0....4....0....5....7

%e ..7....8....3....4....7....4....3....0....0....4....5....0....8....0....5....2

%e ..3....0....7....8....1....4....2....8....5....4....8....8....6....0....1....3

%e ..6....0....6....4....5....6....6....4....7....7....3....0....1....8....7....7

%Y Cf. A184720.

%K nonn

%O 1,3

%A _R. H. Hardin_, Jan 20 2011