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A038760
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a(n) = n - floor(sqrt(n)) * ceiling(sqrt(n)).
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5
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0, 0, 0, 1, 0, -1, 0, 1, 2, 0, -2, -1, 0, 1, 2, 3, 0, -3, -2, -1, 0, 1, 2, 3, 4, 0, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 0, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 0, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 0, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 0, -8, -7, -6, -5, -4
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OFFSET
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0,9
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LINKS
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FORMULA
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EXAMPLE
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Sqrt(31) is between 5 and 6, and 31 - 6*5 = 1, so a(31)=1.
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MAPLE
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a:= n-> n -(x-> floor(x)*ceil(x))(sqrt(n)):
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MATHEMATICA
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PROG
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(Python)
from math import isqrt
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CROSSREFS
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KEYWORD
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sign,easy
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AUTHOR
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STATUS
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approved
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