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A025224
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Floor( Sum_{k=1..n} {sqrt(k)} ).
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3
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0, 1, 2, 4, 6, 8, 10, 13, 16, 19, 22, 25, 29, 32, 36, 40, 44, 48, 52, 57, 61, 66, 70, 75, 80, 85, 90, 95, 101, 106, 112, 117, 123, 129, 134, 140, 146, 152, 159, 165, 171, 178, 184, 191, 197, 204, 211, 218, 224, 231, 239, 246, 253, 260, 268, 275, 282, 290, 298, 305, 313, 321, 329, 337
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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LINKS
| Charles R Greathouse IV, Home Page [in lieu of email address]
S. Ramanujan, "On the sum of the square roots of the first n natural numbers". Journal of the Indian Mathematical Society, VIII (1915), pp. 173-175.
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FORMULA
| a(n) ~= floor ((4n + 3)sqrt(n)/6 - exp(-Pi / 2)) - Charles R Greathouse IV, Jul 29 2007. Corrected by Carl R. White, Jan 22 2009
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MATHEMATICA
| s=0; lst={}; Do[s+=Sqrt[n]; AppendTo[lst, c=Floor[s]], {n, 0, 6!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Mar 06 2010]
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CROSSREFS
| Sequence in context: A061168 A130798 A165453 * A096182 A186347 A056827
Adjacent sequences: A025221 A025222 A025223 * A025225 A025226 A025227
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KEYWORD
| nonn
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AUTHOR
| Clark Kimberling (ck6(AT)evansville.edu)
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