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A065887 Smallest number whose square is divisible by n!. 2
1, 2, 6, 12, 60, 60, 420, 1680, 5040, 5040, 55440, 332640, 4324320, 8648640, 43243200, 172972800, 2940537600, 8821612800, 167610643200, 335221286400, 7039647014400, 14079294028800, 323823762662400, 647647525324800 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

FORMULA

a(n) = A019554(A000142(n)) = sqrt(A065887(n)) = A000142(n)/A055772(n)

EXAMPLE

a(10) = 5040 since 10! = 3628800 and the smallest square divisible by this is 25401600 = 3628800*7 = 5040^2

CROSSREFS

Sequence in context: A058312 A003418 A109935 * A072181 A126915 A002201

Adjacent sequences:  A065884 A065885 A065886 * A065888 A065889 A065890

KEYWORD

nonn

AUTHOR

Henry Bottomley (se16(AT)btinternet.com), Nov 27 2001

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Last modified February 16 14:37 EST 2012. Contains 205930 sequences.