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A034966
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Number of different values of i^2 + j^2 + k^2 for i,j,k in [ 0,n ] (or [ -n,n ]).
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6
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1, 4, 10, 19, 32, 45, 67, 88, 116, 145, 179, 212, 260, 300, 347, 402, 464, 517, 592, 649, 727, 803, 886, 953, 1057, 1146, 1243, 1343, 1453, 1547, 1680, 1784, 1914, 2041, 2165, 2288, 2454, 2578, 2723, 2866, 3037, 3179, 3363, 3516, 3696, 3868, 4041, 4205
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OFFSET
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0,2
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COMMENTS
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Number of distinct lengths of main diagonals of all i X j X k boxes with edge lengths i,j,k in [0,n]
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LINKS
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MATHEMATICA
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Table[ Length@Union[ Flatten[ Table[ i^2+j^2+k^2, {i, 0, n}, {j, 0, n}, {k, 0, n} ] ] ], {n, 0, 49} ]
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CROSSREFS
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KEYWORD
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nonn,easy,nice
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AUTHOR
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STATUS
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approved
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