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Number of strings of numbers x(i=1..8) in 0..n with sum i^2*x(i)^3 equal to 64*n^3.
0

%I #6 May 03 2024 14:23:19

%S 1,8,30,68,126,319,574,1056,1637,2680,3831,6128,8009,11470,16268,

%T 21291,27053,38153,45572,60387,76232,91972,111404,147638,163299,

%U 201881,250753,285550

%N Number of strings of numbers x(i=1..8) in 0..n with sum i^2*x(i)^3 equal to 64*n^3.

%C Row 8 of A184318.

%e Some solutions for n=5

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

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

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

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

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

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

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

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

%Y Cf. A184318.

%K nonn

%O 1,2

%A _R. H. Hardin_, Jan 10 2011