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Search: id:A056628
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| A056628 |
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Largest unitary square divisor of n!. |
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+0
1
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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
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OFFSET
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1,6
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COMMENT
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Unitary analogue of A055071.
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FORMULA
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a(n)=A055071(n)/A055230(n)^2=A008833(n!)/A055229(n!)^2
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EXAMPLE
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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
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A055772, A055071, A055230, A000188, A008833, A055229.
Sequence in context: A030122 A057404 A093159 this_sequence A093769 A124512 A101936
Adjacent sequences: A056625 A056626 A056627 this_sequence A056629 A056630 A056631
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KEYWORD
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nonn
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AUTHOR
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Labos E. (labos(AT)ana.sote.hu), Aug 08 2000
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