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A134716 a(n) = least number m such that sigma(m)/m > n, where sigma(m) = sum of divisors of m. 1
1, 2, 12, 180, 27720, 122522400, 130429015516800, 1970992304700453905270400, 1897544233056092162003806758651798777216000, 4368924363354820808981210203132513655327781713900627249499856876120704000 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..9.

EXAMPLE

Values written as products of primorials:

n a(n)

0 1

1 2

2 2*3#

3 3#*5# (= 180)

4 2*3#*11#

5 8*5#*17#

6 16*3#*7#*29#

7 8*3#*3#*7#*53#

8 32*3#*3#*5#*11#*89#

9 32*3#*3#*7#*17#*157#

10 16*3#*3#*5#*7#*23#*271#

11 16*3#*3#*5#*7#*29#*487#

12 16*3#*3#*5#*7#*13#*31#*857#

CROSSREFS

Cf. A023199 (least k with sigma(k) >= nk)

Sequence in context: A125861 A156516 A067962 * A006023 A039748 A007764

Adjacent sequences:  A134713 A134714 A134715 * A134717 A134718 A134719

KEYWORD

nonn

AUTHOR

Pierre CAMI, Jan 27 2008, corrected Feb 26 2008 with the help of Emeric Deutsch

EXTENSIONS

More terms can be obtained by expanding the expressions in the example lines. - N. J. A. Sloane, Feb 26 2008

STATUS

approved

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Last modified May 24 20:57 EDT 2013. Contains 225631 sequences.