id:A065886 - OEIS Search Results

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Smallest square divisible by n!.

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1, 1, 4, 36, 144, 3600, 3600, 176400, 2822400, 25401600, 25401600, 3073593600, 110649369600, 18699743462400, 74798973849600, 1869974346240000, 29919589539840000, 8646761377013760000, 77820852393123840000 (list; graph; listen)

	OFFSET	`0,3`
	FORMULA	`a(n) = A053143(A000142(n)) = A065887(n)^2 = A000142(n)*A055204(n) = A001044(n)/A055071(n)`
	EXAMPLE	`a(10) = 25401600 since 10! = 3628800 and the smallest square divisible by this is 25401600 = 3628800*7 = 5040^2`
	CROSSREFS	`Sequence in context: A007407 A051418 A069046 this_sequence A069053 A034569 A054773` `Adjacent sequences: A065883 A065884 A065885 this_sequence A065887 A065888 A065889`
	KEYWORD	`nonn`
	AUTHOR	`Henry Bottomley (se16(AT)btinternet.com), Nov 27 2001`

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Last modified July 4 18:25 EDT 2008. Contains 140886 sequences.

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