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A002839 Number of perfect squared rectangles of order n.
(Formerly M1658 N0650)
+0
6
0, 0, 0, 0, 0, 0, 0, 0, 2, 6, 22, 67, 213, 744, 2609, 9016, 31426, 110381 (list; graph; listen)
OFFSET

1,9

COMMENT

The order of a squared rectangle is the number of squares into which it is divided.

REFERENCES

C. J. Bouwkamp, personal communication.

C. J. Bouwkamp and A. J. W. Duijvestijn, Catalogue of Simple Perfect Squared Squares of Orders 21 Through 25. Eindhoven Univ. Technology, Dept. of Math., Report 92-WSK-03, Nov. 1992.

C. J. Bouwkamp and A. J. W. Duijvestijn, Album of Simple Perfect Squared Squares of order 26, Eindhoven University of Technology, Faculty of Mathematics and Computing Science, EUT Report 94-WSK-02, December 1994.

M. Gardner, The 2nd Scientific American Book of Mathematical Puzzles and Diversions. Simon and Schuster, NY, 1961, p. 207.

M. E. Lines, Think of a Number, pp. 43 Institute of Physics, London 1990.

LINKS

S. E. Anderson, Perfect Squared Rectangles and Squared Squares

D. Moews, Squared rectangles

Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.

CROSSREFS

Cf. A006983, A002962, A002881, A014530.

Adjacent sequences: A002836 A002837 A002838 this_sequence A002840 A002841 A002842

Sequence in context: A147800 A027561 A126171 this_sequence A109194 A014334 A107239

KEYWORD

nonn,nice,hard

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified July 3 22:29 EDT 2009. Contains 160563 sequences.


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