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

%I #5 Mar 31 2012 12:35:55

%S 1,20,147,649,2195,6301,15601,34847,71509,137520,249799,433038,720820,

%T 1159650,1809461,2749459,4079634,5928317,8451964,11845820,16345291,

%U 22238744,29865253,39632411,52016744,67583239,86980484,110967120

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

%C Row 8 of A183953

%H R. H. Hardin, <a href="/A183959/b183959.txt">Table of n, a(n) for n = 1..200</a>

%e Some solutions for n=3

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

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

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

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

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

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

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_ Jan 08 2011