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A268756
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Number of triples x, y, r such that r divides x*y, r divides at least one of x or y, and x*y <= n.
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1
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1, 5, 9, 17, 21, 35, 39, 53, 61, 75, 79, 107, 111, 125, 139, 160, 164, 192, 196, 224, 238, 252, 256, 304, 312, 326, 340, 368, 372, 418, 422, 452, 466, 480, 494, 550, 554, 568, 582, 630, 634, 680, 684, 712, 740, 754, 758, 830, 838, 866, 880, 908, 912, 960, 974
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OFFSET
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1,2
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COMMENTS
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a(n) - a(n - 1) only depends on the prime signature of n. - David A. Corneth, Aug 30 2018
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LINKS
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PROG
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(PARI) a(n) = {s = 0; for (x=1, n, for (y = 1, n, if (x*y <= n, s += sum(r = 1, x*y, !(x*y % r) && (!(x % r) || !(y % r))); ); ); ); s; }
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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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