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Search: id:A114458
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| A114458 |
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Integer part of sqrt(n)+sqrt(n+1)+sqrt(n+2). |
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+0
4
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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; listen)
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OFFSET
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1,1
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REFERENCES
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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
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a(n)=floor(sqrt(9n+8).
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MAPLE
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seq(floor(sqrt(9*n+8)), n=1..90);
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CROSSREFS
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Cf. A000267, A114459, A114460.
Sequence in context: A075129 A021691 A107575 this_sequence A061508 A120189 A028276
Adjacent sequences: A114455 A114456 A114457 this_sequence A114459 A114460 A114461
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KEYWORD
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nonn
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AUTHOR
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Emeric Deutsch (deutsch(AT)duke.poly.edu), Nov 28 2005
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