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A036445 Maximum size of smallest square when a square of side n is tiled with integer sided squares. +0
1
1, 1, 2, 1, 3, 1, 4, 3, 5, 2, 6, 2, 7, 5, 8, 2, 9, 3, 10, 7, 11, 4, 12, 5, 13, 9, 14, 5, 15, 5, 16, 11, 17, 7, 18, 7, 19, 13, 20, 6, 21, 7, 22, 15, 23, 7, 24, 9, 25, 17, 26, 8, 27, 11, 28, 19, 29, 9, 30, 10, 31, 21, 32, 13, 33, 10, 34, 23, 35, 11, 36, 11, 37, 25, 38, 14, 39, 13, 40 (list; graph; listen)
OFFSET

2,3

REFERENCES

J.-P. Delahaye, Les inattendus mathematiques, pp. 94 Belin-Pour la Science Paris 2004.

LINKS

E. J. Friedman, Integer Square Tilings

EXAMPLE

a(11)=2 since an 11 X 11 square can be tiled with integer squares of side at least 2 (a 6x6, a 5 X 5, 4 3 X 3's and 6 2 X 2's).

CROSSREFS

Cf. A036444.

Sequence in context: A060654 A116512 A075388 this_sequence A098910 A165025 A142884

Adjacent sequences: A036442 A036443 A036444 this_sequence A036446 A036447 A036448

KEYWORD

hard,nonn

AUTHOR

Erich Friedman (erich.friedman(AT)stetson.edu)

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Last modified December 7 23:50 EST 2009. Contains 170430 sequences.


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