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A219861 Number of ways to dissect a nonsquare rectangle into n rectangles of equal area up to symmetry. 2

%I #16 Dec 17 2012 18:24:15

%S 1,2,4,11,35,130,562,2685,13901,76046

%N Number of ways to dissect a nonsquare rectangle into n rectangles of equal area up to symmetry.

%e There are 4 ways (up to symmetry) to form a nonsquare rectangle from 3 rectangles with the same area:

%e +-----+ +-+-+-+ +-----+ +-+---+

%e | | | | | | | | | | |

%e +-----+ | | | | +--+--+ | | |

%e | | | | | | | | | | +---+

%e +-----+ | | | | | | | | | |

%e | | | | | | | | | | | |

%e +-----+ +-+-+-+ +--+--+ +-+---+

%e So a(3)=4.

%e The eleven solutions for n=4 can be seen as a subset of the illustration of A189243(4) = 21 in that entry. - _N. J. A. Sloane_, Dec 05 2012

%Y Cf. A108066, A189243.

%K nonn,more

%O 1,2

%A _Geoffrey H. Morley_, Nov 29 2012

%E a(7)-a(10) from _Geoffrey H. Morley_, Dec 16 2012

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Last modified April 18 22:18 EDT 2024. Contains 371782 sequences. (Running on oeis4.)