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A139719 A number n is included if k + n/k divides n for at least one divisor k of n. 2
4, 16, 18, 36, 48, 64, 72, 100, 144, 150, 162, 180, 192, 196, 256, 288, 294, 324, 400, 432, 448, 450, 484, 490, 576, 588, 600, 648, 676, 720, 768, 784, 882, 900, 960, 1024, 1134, 1152, 1156, 1176, 1200, 1210, 1296, 1350, 1444, 1458, 1584, 1600, 1620, 1728 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

All terms are even. All even perfect squares are included. If n is included, then 4n is also included.

Also the set of all numbers n of the form n = r*s*(r+s)^2*t^2 with positive integers r,s,t; if one additionally requires (r,s) = 1 and r <= s, then there is exactly one such representation for each n. [From Hagen von Eitzen (math(AT)von-eitzen.de), Jul 22 2009]

EXAMPLE

72 is included because 6 is a divisor of 72 and (6 + 72/6) = 18 divides 72.

CROSSREFS

Cf. A139718.

Sequence in context: A178364 A034121 A166620 * A117102 A077476 A175527

Adjacent sequences:  A139716 A139717 A139718 * A139720 A139721 A139722

KEYWORD

nonn

AUTHOR

Leroy Quet May 01 2008

EXTENSIONS

Extended by Ray Chandler (rayjchandler(AT)sbcglobal.net), Jul 01 2009

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Last modified February 16 04:18 EST 2012. Contains 205860 sequences.