id:A123724 - OEIS Search Results

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Partial sums of (-1)^floor(n*2^(1/3)).

+0
4

-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; listen)

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

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Last modified December 18 21:37 EST 2009. Contains 171024 sequences.

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