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A061055 Factorial splitting: write n! = x*y with x<y and x maximal; sequence gives value of x. +0
7
2, 4, 10, 24, 70, 192, 576, 1890, 6300, 21600, 78848, 294840, 1143072, 4572288, 18849600, 79968000, 348566400, 1559376000, 7147140000, 33522128640, 160758097500, 787652812800, 3938264064000, 20080974513600, 104348440350000 (list; graph; listen)
OFFSET

3,1

COMMENT

Is this the same as A060776? [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Oct 02 2008]

a(27)=104348440350000, a(28)=552160113120000. [From Zak Seidov (zakseidov(AT)yahoo.com), Jul 07 2009]

EXAMPLE

6! = 24*30, with difference of 6.

MATHEMATICA

Do[ With[ {k = Floor[ Sqrt[ x! ] ] - Do[ If[ Mod[ x!, Floor[ Sqrt[ x! ] ] - n ] == 0, Return[ n ] ], {n, 0, 10000000} ]}, Print[ {x, "! =", k, x!/k, x!/k - k} ] ], {x, 3, 22} ]

CROSSREFS

Cf. A061056-A061060, A061030-A061033.

Sequence in context: A029893 A148089 A060776 this_sequence A148090 A148091 A123420

Adjacent sequences: A061052 A061053 A061054 this_sequence A061056 A061057 A061058

KEYWORD

nonn

AUTHOR

Ed Pegg Jr (ed(AT)mathpuzzle.com), May 28 2001

EXTENSIONS

More terms from Dean Hickerson (dean.hickerson(AT)yahoo.com), Jun 13, 2001

More terms from Zak Seidov (zakseidov(AT)yahoo.com), Jul 07 2009

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Last modified December 15 00:47 EST 2009. Contains 170825 sequences.


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