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A097508
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a(n) = floor(n*(sqrt(2)-1)).
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7
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0, 0, 0, 1, 1, 2, 2, 2, 3, 3, 4, 4, 4, 5, 5, 6, 6, 7, 7, 7, 8, 8, 9, 9, 9, 10, 10, 11, 11, 12, 12, 12, 13, 13, 14, 14, 14, 15, 15, 16, 16, 16, 17, 17, 18, 18, 19, 19, 19, 20, 20, 21, 21, 21, 22, 22, 23, 23, 24, 24, 24, 25, 25, 26, 26, 26, 27, 27, 28, 28, 28, 29, 29, 30, 30, 31, 31, 31
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OFFSET
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0,6
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COMMENTS
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Old name was: Differences between floor(n*sqrt(2)) and n.
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LINKS
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FORMULA
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a(n) = (floor(n / cos(45 degrees))) - n.
a(n) = floor((sqrt(2)-1)*n). [Celaya-Ruskey] - N. J. A. Sloane, Nov 14 2013
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MAPLE
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seq(floor(n*sqrt(2)) - n, n = 0 .. 100); # Robert Israel, Aug 21 2014
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MATHEMATICA
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Table[Floor[n Sqrt[2]]-n, {n, 0, 80}] (* Harvey P. Dale, Dec 04 2014 *)
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PROG
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(Magma) [Floor(n*Sqrt(2)) - n: n in [0..100]]; // G. C. Greubel, Mar 27 2018
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CROSSREFS
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KEYWORD
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easy,nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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