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A060777 Larger central (or median) divisor of n!. +0
5
1, 2, 3, 6, 12, 30, 72, 210, 630, 1920, 6336, 22176, 78975, 295680, 1144000, 4576000, 18869760, 80061696, 348986880, 1560176640, 7148445696, 33530112000, 160813154304, 787718131200, 3938590656000, 20083261440000, 104351051284480, 552173794099200, 2973519499493376, 16286922357866496, 90680032493568000, 512971179263262720 (list; graph; listen)
OFFSET

1,2

COMMENT

The integer part of square root of n! (A055226(n)) is situated between this d and its complementary divisor.

EXAMPLE

Divisors of 6!=720 are {1, 2, 3, 4, 5, 6, ..., 24, 30, ..., 360, 720}. a(6)=30, the 16th one from the 30 divisors of 720.

MATHEMATICA

Table[ Part[ Divisors[ w! ], 1+Floor[ DivisorSigma[ 0, n! ]/2 ] ], {w, a, b} ]

CROSSREFS

Cf. A027423, A055226, A000196, A000142, A000005.

Sequence in context: A003317 A145062 A014278 this_sequence A089430 A096746 A096203

Adjacent sequences: A060774 A060775 A060776 this_sequence A060778 A060779 A060780

KEYWORD

nonn

AUTHOR

Labos E. (labos(AT)ana.sote.hu), Apr 26 2001

EXTENSIONS

More terms from Don Reble (djr(AT)nk.ca), Dec 13 2001

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Last modified November 30 13:13 EST 2009. Contains 167758 sequences.


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