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A102126 Minimum number of pieces needed to dissect a square into n smaller squares (not necessarily of the same size). +0
1
1, 4, 4, 4, 6, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29 (list; graph; listen)
OFFSET

1,2

LINKS

Eric Weisstein et al., Dissection.

FORMULA

a(n) = n for n > 5

EXAMPLE

For n>1, a(2n) = 2n because a square can be dissected into a square with edge (n-1)/n times the original square and a strip of n and a strip of n-1 squares (each with edge 1/n times the original square). For n>1, a(2n+3)= 2n+3 because one square in the above example can be dissected into four equally sized squares.

CROSSREFS

Sequence in context: A098013 A116446 A073229 this_sequence A097918 A141466 A023958

Adjacent sequences: A102123 A102124 A102125 this_sequence A102127 A102128 A102129

KEYWORD

easy,nonn

AUTHOR

Johannes Koelman (Joc_Kay(AT)hotmail.com), Feb 14 2005

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Last modified November 25 13:47 EST 2009. Contains 167481 sequences.


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