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A123738 Partial sums of (-1)^floor(n*pi). +0
4
-1, 0, -1, 0, -1, 0, -1, -2, -1, -2, -1, -2, -1, -2, -3, -2, -3, -2, -3, -2, -3, -4, -3, -4, -3, -4, -3, -4, -5, -4, -5, -4, -5, -4, -5, -6, -5, -6, -5, -6, -5, -6, -7, -6, -7, -6, -7, -6, -7, -8, -7, -8, -7, -8, -7, -8, -9, -8, -9, -8, -9, -8, -9, -10, -9, -10, -9, -10, -9, -10, -11, -10, -11, -10, -11, -10, -11, -12, -11, -12 (list; graph; listen)
OFFSET

1,8

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..10000

MATHEMATICA

Rest[FoldList[Plus, 0, (-1)^Floor[Pi*Range[120]]]]

CROSSREFS

Cf. A123724 (sum for 2^(1/3)), A123737 (sum for sqrt(2)), A123739 (sum for e).

Adjacent sequences: A123735 A123736 A123737 this_sequence A123739 A123740 A123741

Sequence in context: A103682 A023134 A112632 this_sequence A030738 A114228 A060938

KEYWORD

easy,sign

AUTHOR

T. D. Noe (noe(AT)sspectra.com), Oct 11 2006

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Last modified October 7 14:39 EDT 2008. Contains 144666 sequences.


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