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A055077 Multiplicity of Max{GCD[d,n!/d]} when d runs over divisors of n! (this is always a power of 2). +0
1
1, 2, 4, 4, 8, 2, 4, 8, 8, 2, 4, 8, 16, 16, 16, 16, 32, 16, 32, 16, 64, 64, 128, 32, 32, 32, 64, 32, 64, 32, 64, 128, 512, 128, 128, 128, 256, 256, 256, 256, 512, 1024, 2048, 1024, 512, 128, 256, 128, 128, 256, 1024, 512, 1024, 256, 1024, 4096, 16384, 4096, 8192 (list; graph; listen)
OFFSET

1,2

EXAMPLE

n=5, 5!=120, the set of GCD[d,120/d] values for the 16 divisors of 120 is:{1,2,1,2,1,2,1,2,2,1,2,1,2,1,2,1}. Tha max is 2 and it occurs 8 times, so a(5)=8.

CROSSREFS

Cf. A000188.

Sequence in context: A164721 A070072 A095061 this_sequence A117215 A011173 A162943

Adjacent sequences: A055074 A055075 A055076 this_sequence A055078 A055079 A055080

KEYWORD

nonn

AUTHOR

Labos E. (labos(AT)ana.sote.hu), Jun 13 2000

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Last modified November 23 17:09 EST 2009. Contains 167438 sequences.


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