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Search: id:A078617
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| A078617 |
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Floor(average of first n squares). |
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+0
1
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| 1, 2, 4, 7, 11, 15, 20, 25, 31, 38, 46, 54, 63, 72, 82, 93, 105, 117, 130, 143, 157, 172, 188, 204, 221, 238, 256, 275, 295, 315, 336, 357, 379, 402, 426, 450, 475, 500, 526, 553, 581, 609, 638, 667, 697, 728, 760, 792, 825, 858, 892, 927, 963, 999, 1036, 1073
(list; graph; listen)
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OFFSET
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1,2
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FORMULA
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a(n) = Floor((1/n)(Sum_{i=1, ..., n} i^2)
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EXAMPLE
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a(4) = Floor((1 + 4 + 9 + 16)/4) = 7.
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MAPLE
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BB:=n->sum(i^2, i=1..n): a:=n->floor(numer(BB(n))/n): seq(a(n), n=1..56); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Mar 28 2007
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MATHEMATICA
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s = 0; a = {}; For[i = 1, i <= 100, i++, s = s + i^2; a = Append[a, Floor[(1/i) s]]]; a
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CROSSREFS
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Sequence in context: A087163 A062467 A003068 this_sequence A025703 A025709 A036700
Adjacent sequences: A078614 A078615 A078616 this_sequence A078618 A078619 A078620
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KEYWORD
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easy,nonn
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AUTHOR
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Joseph L. Pe (joseph_l_pe(AT)hotmail.com), Dec 10 2002
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