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A123724
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Partial sums of (-1)^floor(n*2^(1/3)).
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4
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-1, 0, -1, -2, -1, -2, -1, 0, -1, 0, -1, -2, -1, -2, -1, 0, -1, 0, -1, -2, -1, -2, -1, 0, -1, 0, 1, 0, 1, 0, -1, 0, -1, 0, 1, 0, 1, 0, -1, 0, -1, 0, 1, 0, 1, 0, -1, 0, -1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, -1, 0, -1, 0, 1, 0, 1, 0, -1, 0, -1, 0, 1, 0, 1, 0, -1, 0, -1, 0, 1, 0, 1, 0
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,4
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COMMENTS
| Remarkably, these partial sums appear to have several periods of length 153008. This sum is not discussed by O'Bryant et al.
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REFERENCES
| Kevin O'Bryant, Bruce Reznick and Monika Serbinowska, Almost alternating sums, Amer. Math. Monthly, Vol. 113 (October 2006), 673-688.
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LINKS
| T. D. Noe, Table of n, a(n) for n=1..40000
T. D. Noe, Plot of 10^6 terms
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MATHEMATICA
| Rest[FoldList[Plus, 0, (-1)^Floor[2^(1/3)*Range[120]]]]
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CROSSREFS
| Cf. A123737 (sum for sqrt(2)), A123738 (sum for pi), A123739 (sum for e).
Sequence in context: A165575 A165582 A165472 * A107016 A066057 A060588
Adjacent sequences: A123721 A123722 A123723 * A123725 A123726 A123727
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KEYWORD
| easy,nice,sign
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AUTHOR
| T. D. Noe (noe(AT)sspectra.com), Oct 11 2006
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