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 A123739 Partial sums of (-1)^floor(n*e). 4
 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, -1, 0, -1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, -1, 0, -1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 3, 2, 3, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 3, 2, 3, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 3, 2, 3, 2, 1, 2, 1, 2, 3, 2, 3, 4, 3, 4, 3, 2, 3, 2, 1, 2, 1, 2, 3, 2, 3, 4, 3, 4, 3, 2, 3, 2, 1, 2, 1, 2, 3, 2, 3, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 3, 2, 3, 2, 1, 2, 1 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,4 LINKS T. D. Noe, Table of n, a(n) for n = 1..10000 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[E*Range[120]]]] Accumulate[(-1)^Floor[E Range[200]]] (* Harvey P. Dale, May 06 2022 *) PROG (PARI) vector(50, n, sum(j=1, n, (-1)^(j\exp(-1))) ) \\ G. C. Greubel, Sep 05 2019 (Magma) [&+[(-1)^Floor(j*Exp(1)): j in [1..n]]: n in [1..130]]; // G. C. Greubel, Sep 05 2019 (Sage) [sum((-1)^floor(j*exp(1)) for j in (1..n)) for n in (1..130)] # G. C. Greubel, Sep 05 2019 CROSSREFS Cf. A123724 (sum for 2^(1/3)), A123737 (sum for sqrt(2)), A123738 (sum for pi). Sequence in context: A234694 A091704 A175799 * A165575 A165582 A165472 Adjacent sequences: A123736 A123737 A123738 * A123740 A123741 A123742 KEYWORD easy,sign AUTHOR T. D. Noe, Oct 11 2006 STATUS approved

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Last modified December 11 14:18 EST 2023. Contains 367727 sequences. (Running on oeis4.)