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A114460 Integer part of sqrt(n)+sqrt(n+1)+sqrt(n+2)+sqrt(n+3)+sqrt(n+4). +0
3
8, 9, 11, 12, 13, 14, 14, 15, 16, 17, 18, 18, 19, 19, 20, 21, 21, 22, 22, 23, 23, 24, 24, 25, 25, 26, 26, 27, 27, 28, 28, 29, 29, 29, 30, 30, 31, 31, 32, 32, 32, 33, 33, 33, 34, 34, 34, 35, 35, 36, 36, 36, 37, 37, 37, 38, 38, 38, 39, 39, 39, 39, 40, 40, 40, 41, 41, 41, 42, 42 (list; graph; listen)
OFFSET

1,1

REFERENCES

X. Zhan, Formulae for sums of consecutive square roots, The Math. Intelligencer, 27, No. 4, 2005, 4-5.

FORMULA

a(n)=floor(sqrt(25n+49).

MAPLE

seq(floor(sqrt(25*n+49)), n=1..90);

CROSSREFS

Cf. A000267, A114458, A114459.

Adjacent sequences: A114457 A114458 A114459 this_sequence A114461 A114462 A114463

Sequence in context: A048000 A048081 A109936 this_sequence A120201 A128234 A087668

KEYWORD

nonn

AUTHOR

Emeric Deutsch (deutsch(AT)duke.poly.edu), Nov 28 2005

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Last modified October 11 13:47 EDT 2008. Contains 144830 sequences.


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