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A338887
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a(n) is the size of the set {x + y*z | x*y + z = n}, where x, y, and z are positive integers.
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2
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0, 1, 1, 2, 3, 3, 5, 6, 7, 9, 12, 10, 14, 15, 16, 19, 23, 19, 27, 24, 28, 30, 34, 30, 42, 38, 39, 39, 48, 42, 58, 50, 53, 56, 65, 51, 71, 67, 67, 68, 85, 68, 88, 76, 82, 85, 98, 76, 107, 95, 101, 94, 117, 96, 118, 108, 114, 121, 137, 100, 142, 131, 134, 130, 154
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OFFSET
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1,4
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LINKS
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FORMULA
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EXAMPLE
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The a(7) = 5 solutions are:
2 + 3 * 1 = 5 (corresponding to 2 * 3 + 1 = 7),
1 + 6 * 1 = 7 (corresponding to 1 * 6 + 1 = 7),
2 + 2 * 3 = 8 (corresponding to 2 * 2 + 3 = 7),
1 + 5 * 2 = 11 (corresponding to 1 * 5 + 2 = 7), and
1 + 4 * 3 = 13 (corresponding to 1 * 4 + 3 = 7).
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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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