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Number of strings of numbers x(i=1..n) in 0..4 with Sum_{i=1..n} i^2*x(i)^3 = n^2*64.
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%I #14 Nov 29 2024 19:00:41

%S 1,1,1,1,2,2,5,16,68,244,1106,4041,15802,60716,234319,885466,3369738,

%T 12612488,47251424,174691216,644760884,2353213266,8557977690,

%U 30825999521,110546795278,393117952349,1390864413489,4884724958228,17059662985333,59193590868065,204181359943483

%N Number of strings of numbers x(i=1..n) in 0..4 with Sum_{i=1..n} i^2*x(i)^3 = n^2*64.

%H Alois P. Heinz, <a href="/A184313/b184313.txt">Table of n, a(n) for n = 0..100</a> (terms n = 1..31 from R. H. Hardin)

%e All solutions for n=5:

%e ..0....0

%e ..0....0

%e ..0....4

%e ..0....4

%e ..4....0

%Y Column 4 of A184318.

%K nonn

%O 0,5

%A _R. H. Hardin_, Jan 10 2011

%E a(0)=1 prepended by _Alois P. Heinz_, Nov 29 2024