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A291271
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The arithmetic function v_4(n,2).
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0
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0, 1, 0, 2, 2, 3, 2, 4, 4, 5, 4, 6, 6, 7, 6, 8, 8, 9, 8, 10, 10, 11, 10, 12, 12, 13, 12, 14, 14, 15, 14, 16, 16, 17, 16, 18, 18, 19, 18, 20, 20, 21, 20, 22, 22, 23, 22, 24, 24, 25, 24, 26, 26, 27, 26, 28, 28, 29, 28, 30, 30, 31, 30, 32, 32, 33, 32, 34, 34
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OFFSET
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2,4
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REFERENCES
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J. Butterworth, Examining the arithmetic function v_g(n,h). Research Papers in Mathematics, B. Bajnok, ed., Gettysburg College, Vol. 8 (2008).
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LINKS
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FORMULA
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Conjecture: a(n) = (n-2-cos(n*Pi)-cos(n*Pi/2))/2. - Wesley Ivan Hurt, Oct 02 2017
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MATHEMATICA
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v[g_, n_, h_] := (d = Divisors[n]; Max[(Floor[(d - 1 - GCD[d, g])/h] + 1)*n/d]); Table[v[4, n, 2], {n, 2, 70}]
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CROSSREFS
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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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