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Search: id:A125056
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| A125056 |
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a(n) is the largest positive integer such that floor(a(n)/d(a(n))) = n, where d(m) is the number of positive divisors of m. |
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+0
3
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| 6, 12, 30, 48, 60, 72, 120, 96, 144, 180, 140, 240, 216, 252, 360, 336, 420, 224, 312, 480, 504, 540, 378, 720, 600, 840, 660, 672, 352, 364, 756, 780, 1080, 960, 1260, 864, 594, 924, 936, 1440, 1320, 1680, 1050, 1056, 1092, 1120, 1512, 1560
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Is a(n) well-defined? Does every positive integer n equal floor(m/d(m)) for some m?
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LINKS
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Hugo van der Sanden and D. W. Wilson, Table of n, a(n) for n = 1..10000
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MATHEMATICA
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t = Table[ Floor[ n / DivisorSigma[0, n]], {n, 10^5}]; f[n_] := Max@ Flatten@ Position[t, n]; Array[f, 51] (* Robert G. Wilson v (rgwv(AT)rgwv.com), Jan 12 2007 *)
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CROSSREFS
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Cf. A126888, A000005, A126889, A078709, A125057.
Adjacent sequences: A125053 A125054 A125055 this_sequence A125057 A125058 A125059
Sequence in context: A080289 A126857 A071342 this_sequence A011987 A036690 A014131
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KEYWORD
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nonn
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AUTHOR
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Hugo van der Sanden (hv(AT)crypt.org, Jan 09 2007
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