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A108068 Number of ordered pairs (i,j) with i>=0, j>=0 and i!*j! = n. +0
2
4, 4, 0, 1, 0, 4, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 (list; graph; listen)
OFFSET

1,1

LINKS

D. M. Kane, On the number of ways of writing T as a product of factorials, Integers: Electronic Journal of Combinatorial Number Theory, 5 (2005), #A02, 10pp.

FORMULA

lim sup_{n->infinity} a(n) = 6 [Kane]

Conjecture: max_{n->infinity} a(n) = 6 [Kane]

EXAMPLE

1 = 0!*0! = 0!*1! = 1!*0! = 1!*1!, so a(1) = 4.

CROSSREFS

Cf. A108069.

Sequence in context: A156450 A067007 A066298 this_sequence A131124 A131125 A106508

Adjacent sequences: A108065 A108066 A108067 this_sequence A108069 A108070 A108071

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Jun 04 2005

EXTENSIONS

More terms from Christian G. Bower (bowerc(AT)usa.net), Jun 04 2005

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Last modified November 29 12:46 EST 2009. Contains 167659 sequences.


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