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A123737 Partial sums of (-1)^floor(n*sqrt(2)). +0
5
-1, 0, 1, 0, -1, 0, -1, -2, -1, 0, -1, 0, 1, 0, -1, 0, 1, 0, 1, 2, 1, 0, 1, 0, -1, 0, 1, 0, -1, 0, -1, -2, -1, 0, -1, 0, 1, 0, -1, 0, -1, -2, -1, 0, -1, -2, -1, -2, -3, -2, -1, -2, -1, 0, -1, -2, -1, 0, -1, 0, 1, 0, -1, 0, -1, -2, -1, 0, -1, 0, 1, 0, -1, 0, 1, 0, 1, 2, 1, 0, 1, 0, -1, 0, 1, 0, -1, 0, -1, -2, -1, 0, -1, 0, 1, 0, -1, 0, 1, 0 (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[Sqrt[2]*Range[120]]]]

CROSSREFS

Cf. A123724 (sum for 2^(1/3)), A123738 (sum for pi), A123739 (sum for e).

Sequence in context: A080733 A080732 A088568 this_sequence A083037 A072927 A120086

Adjacent sequences: A123734 A123735 A123736 this_sequence A123738 A123739 A123740

KEYWORD

easy,sign

AUTHOR

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

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.


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