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A177041
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Sum(round(k^2/n),k=1..n).
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1
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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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Table of n, a(n) for n=1..50.
Mircea Merca, Inequalities and Identities Involving Sums of Integer Functions J. Integer Sequences, Vol. 14 (2011), Article 11.9.1.
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MAPLE
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seq(sum(round(i^2/n), i = 1 .. n), n = 1 .. 50)
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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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PROG
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(MAGMA) [&+[Round(k^2/n): k in [1..n]]: n in [1..50]]; // Bruno Berselli, Apr 28 2011
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CROSSREFS
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Sequence in context: A027022 A120365 A166375 * A060962 A069950 A147869
Adjacent sequences: A177038 A177039 A177040 * A177042 A177043 A177044
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KEYWORD
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nonn
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AUTHOR
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Mircea Merca, Dec 09 2010
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STATUS
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approved
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