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A114458
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Integer part of sqrt(n)+sqrt(n+1)+sqrt(n+2).
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3
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4, 5, 5, 6, 7, 7, 8, 8, 9, 9, 10, 10, 11, 11, 11, 12, 12, 13, 13, 13, 14, 14, 14, 14, 15, 15, 15, 16, 16, 16, 16, 17, 17, 17, 17, 18, 18, 18, 18, 19, 19, 19, 19, 20, 20, 20, 20, 20, 21, 21, 21, 21, 22, 22, 22, 22, 22, 23, 23, 23, 23, 23, 23, 24, 24, 24, 24, 24, 25, 25, 25, 25, 25
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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REFERENCES
| F. D. Hammer, Problem E3010, Amer. Math. Monthly, 95, 1988, 133-134.
X. Zhan, Formulae for sums of consecutive square roots, The Math. Intelligencer, 27, No. 4, 2005, 4-5.
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FORMULA
| a(n)=floor(sqrt(9n+8).
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MAPLE
| seq(floor(sqrt(9*n+8)), n=1..90);
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CROSSREFS
| Cf. A000267, A114459, A114460.
Sequence in context: A107575 A205677 A178400 * A205842 A061508 A120189
Adjacent sequences: A114455 A114456 A114457 * A114459 A114460 A114461
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KEYWORD
| nonn
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AUTHOR
| Emeric Deutsch (deutsch(AT)duke.poly.edu), Nov 28 2005
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