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A125056 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. 3
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; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Is a(n) well-defined? Does every positive integer n equal floor(m/d(m)) for some m?

LINKS

Hugo van der Sanden and D. W. Wilson, Table of n, a(n) for n = 1..10000

MATHEMATICA

t = Table[ Floor[ n / DivisorSigma[0, n]], {n, 10^5}]; f[n_] := Max@ Flatten@ Position[t, n]; Array[f, 51] (* Robert G. Wilson v, Jan 12 2007 *)

CROSSREFS

Cf. A126888, A000005, A126889, A078709, A125057.

Sequence in context: A126857 A161348 A071342 * A011987 A036690 A229746

Adjacent sequences:  A125053 A125054 A125055 * A125057 A125058 A125059

KEYWORD

nonn

AUTHOR

Hugo van der Sanden, Jan 09 2007

STATUS

approved

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Last modified April 13 22:11 EDT 2021. Contains 342941 sequences. (Running on oeis4.)