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A123738 Partial sums of (-1)^floor(n*Pi). 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; refs; listen; history; text; internal format)
OFFSET

1,8

LINKS

T. D. Noe, Table of n, a(n) for n=1..10000

Kevin O'Bryant, Bruce Reznick and Monika Serbinowska, Almost alternating sums, arXiv:math/0308087 [math.NT], 2003-2005.

Kevin O'Bryant, Bruce Reznick and Monika Serbinowska, Almost alternating sums, Amer. Math. Monthly, Vol. 113 (October 2006), 673-688.

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).

Sequence in context: A275344 A206826 A175835 * A194511 A214526 A245038

Adjacent sequences:  A123735 A123736 A123737 * A123739 A123740 A123741

KEYWORD

easy,sign

AUTHOR

T. D. Noe, Oct 11 2006

STATUS

approved

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Last modified February 21 22:56 EST 2018. Contains 299427 sequences. (Running on oeis4.)