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A056628
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Largest unitary square divisor of n!.
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0
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1, 1, 1, 1, 1, 144, 144, 144, 1296, 518400, 518400, 230400, 230400, 2822400, 9144576, 146313216, 146313216, 21069103104, 21069103104, 52672757760000, 119439360000, 3613040640000, 3613040640000, 18730002677760000
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,6
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COMMENTS
| Unitary analogue of A055071.
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FORMULA
| a(n)=A055071(n)/A055230(n)^2=A008833(n!)/A055229(n!)^2
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EXAMPLE
| n=12, 12!=1440*1440*231, the largest square divisor is 1440^2=2073600. It becomes unitary if divided by g^2=9, so a(12)=230400=480^2.
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CROSSREFS
| A055772, A055071, A055230, A000188, A008833, A055229.
Sequence in context: A173713 A185589 A093159 * A093769 A124512 A199546
Adjacent sequences: A056625 A056626 A056627 * A056629 A056630 A056631
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KEYWORD
| nonn
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AUTHOR
| Labos E. (labos(AT)ana.sote.hu), Aug 08 2000
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