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A071415
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Maximal m such that all numbers in [0,m] are expressible as a*b + c with a + c <= n, b <= n and a,b,c positive integers.
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0
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1, 4, 7, 10, 17, 22, 32, 38, 51, 66, 75, 93, 113, 124, 147, 172, 199, 214, 244, 276, 310, 328, 365, 404, 445, 488, 511, 557, 605, 655, 707, 734, 789, 846, 905, 966, 1029, 1062, 1128, 1196, 1266, 1338, 1412, 1450, 1527, 1606, 1687, 1770, 1855, 1942, 1987, 2077
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OFFSET
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1,2
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COMMENTS
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a(n)/n^2 seems to tend to 1 as n tends to infinity.
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LINKS
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EXAMPLE
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a(3)=3 because 1 = 0*3 + 1, 2 = 0*3 + 2, 3 = 0*3 + 3, 4 = 1*3 + 1, 5 = 1*3 + 2, 6 = 2*3 + 0, 7 = 2*3 + 1 and 8 is not expressible in that form.
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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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