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A068594 Factorable subsets: the number of subsets S of {1,2,...,n} that can be expressed in the form S=A*B, where B is defined to be the set {a(i)*b(j)| a(i) in A, b(j) in B}. +0
1
0, 0, 0, 3, 3, 11, 11, 23, 33, 63, 63, 137, 137, 257, 320 (list; graph; listen)
OFFSET

1,4

EXAMPLE

a(6)=11, since {4}={2}*{2}, {2,4}={2}*{1,2}, {6}={2}*{3}, {2,6}={2}*{1,3}, {4,6}={2}*{2,3}, {2,4,6}={2}*{1,2,3}, {1,2,4}={1,2}*{1,2}, {3,6}={1,2}*{3}, {1,2,3,6}={1,2}*{1,3}, {2,3,4,6}={1,2}*{2,3}, {1,2,3,4,6}={1,2}*{1,2,3}, and no other subsets of {1,2,...,6} can be so factored.

CROSSREFS

Sequence in context: A107229 A122167 A095019 this_sequence A122573 A136123 A045495

Adjacent sequences: A068591 A068592 A068593 this_sequence A068595 A068596 A068597

KEYWORD

nonn

AUTHOR

John W. Layman (layman(AT)math.vt.edu), Mar 14 2002

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.


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