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A255723
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Another variant of Per Nørgård's "infinity sequence", cf. A004718: t(0) = 0; t(4*n) = t(n); t(4*n+1) = t(n) - 2; t(4*n+2) = -t(n) - 1; t(4*n+3) = t(n) + 2.
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4
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0, -2, -1, 2, -2, -4, 1, 0, -1, -3, 0, 1, 2, 0, -3, 4, -2, -4, 1, 0, -4, -6, 3, -2, 1, -1, -2, 3, 0, -2, -1, 2, -1, -3, 0, 1, -3, -5, 2, -1, 0, -2, -1, 2, 1, -1, -2, 3, 2, 0, -3, 4, 0, -2, -1, 2, -3, -5, 2, -1, 4, 2, -5, 6, -2, -4, 1, 0, -4, -6, 3, -2, 1, -1
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OFFSET
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0,2
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COMMENTS
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Per Nørgård's surname is also written as Noergaard;
example of a sequence sharing with A004718 some main characterizing properties, see link (chapter 7).
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REFERENCES
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Yu Hin (Gary) Au, Christopher Drexler-Lemire, and Jeffrey Shallit, "Notes and note pairs in Norgard's infinity series", J. of Mathematics and Music (2017). DOI: http://dx.doi.org/10.1080/17459737.2017.1299807
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LINKS
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PROG
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(Haskell)
a255723 n = a255723_list !! n
a255723_list = 0 : concat (transpose [map (subtract 2) a255723_list,
map (-1 -) a255723_list,
map (+ 2) a255723_list,
tail a255723_list])
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CROSSREFS
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KEYWORD
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sign
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AUTHOR
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STATUS
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approved
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