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A344348
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a(n) = floor(frac(e * n) * n).
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0
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0, 0, 0, 0, 3, 2, 1, 0, 5, 4, 1, 9, 7, 4, 0, 11, 7, 3, 16, 12, 7, 1, 17, 11, 5, 23, 17, 10, 3, 24, 16, 8, 31, 23, 14, 4, 30, 21, 11, 0, 29, 18, 7, 38, 26, 14, 1, 35, 22, 9, 45, 32, 18, 3, 42, 27, 12, 53, 38, 22, 5, 49, 33, 15, 62, 44, 26, 8, 57, 38, 19, 70
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OFFSET
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0,5
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LINKS
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EXAMPLE
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x(n) = frac(e * n),
a(0) = floor(x(0) * 0) = floor(0.00 * 0) = 0,
a(1) = floor(x(1) * 1) = floor(0.72 * 1) = 0,
a(2) = floor(x(2) * 2) = floor(0.44 * 2) = 0,
a(3) = floor(x(3) * 3) = floor(0.15 * 3) = 0,
a(4) = floor(x(4) * 4) = floor(0.87 * 4) = 3.
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PROG
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(Ruby) p (0..50).map {|n| (((Math::E * n) % 1) * n).floor }
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CROSSREFS
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Cf. A001113, A342730 (uses primes, where this uses positive integers).
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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