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A177041
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Sum(round(k^2/n),k=1..n).
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3
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1, 3, 4, 7, 11, 16, 20, 26, 31, 39, 44, 53, 63, 74, 82, 94, 105, 119, 128, 141, 157, 174, 188, 204, 221, 239, 254, 275, 295, 318, 336, 360, 377, 403, 422, 447, 475, 502, 526, 554, 581, 611, 636, 665, 697, 732, 760, 794, 825, 861
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OFFSET
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1,2
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COMMENTS
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The round function, also called the nearest integer function, is defined here by round(x)=floor(x+1/2).
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LINKS
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MAPLE
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add( round(j^2/n), j=1..n) ;
end proc:
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MATHEMATICA
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Table[Sum[Floor[k^2/n + 1/2], {k, n}], {n, 50}]
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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