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A038549 Least number with exactly n divisors that are at most its square root. +0
5
1, 4, 12, 24, 36, 60, 192, 120, 180, 240, 576, 360, 1296, 900, 720, 840, 9216, 1260, 786432, 1680, 2880, 15360, 3600, 2520, 6480, 61440, 6300, 6720, 2359296, 5040, 3221225472, 7560, 46080, 983040, 25920, 10080, 206158430208, 32400, 184320 (list; graph; listen)
OFFSET

1,2

COMMENT

Least number of identical objects that can be arranged in exactly n ways in a rectangle, modulo rotation

Smallest number which has n distinct unordered factorizations of the form x*y. - Lekraj Beedassy (blekraj(AT)yahoo.com), Jan 09 2008

LINKS

T. Verhoeff, Rectangular and Trapezoidal Arrangements, J. Integer Sequences, Vol. 2, 1999, #99.1.6.

FORMULA

a(n) = min(A005179(2n-1), A005179(2n)).

CROSSREFS

Records in A038548. Cf. A038548, A072671, A004778, A086921.

Sequence in context: A008103 A086921 A004778 this_sequence A008081 A008188 A057322

Adjacent sequences: A038546 A038547 A038548 this_sequence A038550 A038551 A038552

KEYWORD

nonn

AUTHOR

Tom Verhoeff (Tom.Verhoeff(AT)acm.org)

EXTENSIONS

More terms from David W. Wilson (davidwwilson(AT)comcast.net).

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Last modified November 30 13:13 EST 2009. Contains 167758 sequences.


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