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 A228953 The largest possible element size for each perfect squared square order, otherwise 0 if perfect squared squares do not exist in that order. 8
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 50, 97, 134, 200, 343, 440, 590, 797, 1045, 1435, 1855, 2505, 3296, 4528, 5751, 7739, 10361 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,21 COMMENTS A squared rectangle is a rectangle dissected into a finite number, two or more, of squares, called the elements of the dissection. If no two of these squares have the same size the squared rectangle is called perfect, otherwise it is imperfect. The order of a squared rectangle is the number of constituent squares. The case in which the squared rectangle is itself a square is called a squared square. The dissection is simple if it contains no smaller squared rectangle, otherwise it is compound. Every perfect square with the largest known element for each order up to 37 is simple. LINKS Table of n, a(n) for n=1..37. S. E. Anderson, Perfect Squared Rectangles and Squared Squares Stuart Anderson, 'Special' Perfect Squared Squares", accessed 2014. - N. J. A. Sloane, Mar 30 2014 Eric Weisstein's World of Mathematics, Perfect Square Dissection Jim Williams, Jim Williams' squared square research. CROSSREFS Cf. A217149, A129947, A006983. Sequence in context: A349208 A224551 A262149 * A335480 A255585 A260901 Adjacent sequences: A228950 A228951 A228952 * A228954 A228955 A228956 KEYWORD nonn AUTHOR Stuart E Anderson, Oct 06 2013 EXTENSIONS More terms, a(33) to a(37), extracted from Jim Williams' discoveries, added by Stuart E Anderson, Nov 06 2020 STATUS approved

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Last modified April 20 05:55 EDT 2024. Contains 371799 sequences. (Running on oeis4.)