1,22

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

The term 1152 was found by Jasper Skinner by exhaustive search of all squares of order 27. They can be viewed at the Anderson link.

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

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.

A. J. W. Duijvestijn, J. Comb. Theory B 59 (1993), 26-34.

A. J. W. Duijvestijn, Math. Comp. 62 (1994), 325-332.

A. J. W. Duijvestijn, Math. Comp. 65 (1996), 1359-1364.

A. J. W. Duijvestijn, P. J. Federico and P. Leeuw, Compound perfect squares, American Mathematical Monthly 89 (1982), 15-32. - there is no compound perfect squared square of order < 24.

J.-P. Delahaye, Les inattendus mathematiques, pp. 95-6 Belin-Pour la Science Paris 2004.

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

A. J. W. Duijvestijn, Table I

A. J. W. Duijvestijn, Table II

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

Cf. A002962, A002881, A002839, A014530.

Sequence in context: A077566 A067677 A045523 this_sequence A072327 A161415 A117802

Adjacent sequences: A006980 A006981 A006982 this_sequence A006984 A006985 A006986

nonn,hard,nice

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

Leading term changed from 0 to 1 Apr 15 1996.

More terms from Stuart. E. Anderson (stuart(AT)squaring.net), May 08 2003