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Search: id:A116589
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| A116589 |
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Sum{sqrt(n) < i <= n} i - Sum{1 <= i <sqrt(n)} i. |
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+0
2
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| 0, 1, 4, 6, 9, 15, 22, 30, 36, 43, 54, 66, 79, 93, 108, 120, 133, 151, 170, 190, 211, 233, 256, 280, 300, 321, 348, 376, 405, 435, 466, 498, 531, 565, 600, 630, 661, 699, 738, 778, 819, 861, 904, 948, 993, 1039, 1086, 1134, 1176, 1219, 1270, 1322, 1375, 1429, 1484, 1540
(list; graph; listen)
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OFFSET
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1,3
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COMMENT
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If n -> oo, then a(n)/n^2 -> 1/2 - Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Apr 16 2006
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MATHEMATICA
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Table[Sum[i, {i, Ceiling[Sqrt[n]], n}]-Sum[i, {i, 1, Floor[Sqrt[n]]}], {n, 1, 10}] - Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Apr 16 2006
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CROSSREFS
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Cf. A079667.
Sequence in context: A086697 A078443 A085751 this_sequence A118688 A118691 A087718
Adjacent sequences: A116586 A116587 A116588 this_sequence A116590 A116591 A116592
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Apr 15 2006
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