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A056627 Square root of largest unitary square divisor of n!. 0
1, 1, 1, 1, 1, 12, 12, 12, 36, 720, 720, 480, 480, 1680, 3024, 12096, 12096, 145152, 145152, 7257600, 345600, 1900800, 1900800, 136857600, 684288000, 4447872000, 4447872000, 435891456000, 435891456000, 3138418483200, 3138418483200 (list; graph; refs; listen; history; internal format)
OFFSET

1,6

COMMENTS

Unitary analogue of A055772.

FORMULA

a(n)=A055772(n)/A055230(n)=A000188(n!)/A055229(n!)

EXAMPLE

n=12, 12!=1440*1440*231, square root of the largest square divisor is 1440, but it becomes unitary if divided by g=3, so a(12)=480.

CROSSREFS

A055772, A055230, A000188, A055229.

Sequence in context: A113595 A109053 A186100 * A061074 A134324 A064161

Adjacent sequences:  A056624 A056625 A056626 * A056628 A056629 A056630

KEYWORD

nonn

AUTHOR

Labos E. (labos(AT)ana.sote.hu), Aug 08 2000

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Last modified February 14 18:09 EST 2012. Contains 205663 sequences.