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A226583
Smallest number of integer-sided squares needed to tile a 10 X n rectangle.
3
0, 10, 5, 6, 4, 2, 4, 6, 5, 6, 1, 6, 5, 7, 5, 3, 5, 7, 6, 7, 2, 7, 6, 8, 6, 4, 6, 8, 7, 8, 3, 8, 7, 9, 7, 5, 7, 9, 8, 9, 4, 9, 8, 10, 8, 6, 8, 10, 9, 10, 5, 10, 9, 11, 9, 7, 9, 11, 10, 11, 6, 11, 10, 12, 10, 8, 10, 12, 11, 12, 7, 12, 11, 13, 11, 9, 11, 13, 12
OFFSET
0,2
FORMULA
G.f.: x*(x^8+5*x^7-x^6-10*x^5-4*x^4-x^3-4*x^2+5*x+10) / (x^7-x^5-x^2+1).
a(n) = 1 + a(n-10) for n>12.
EXAMPLE
a(22) = 6:
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|___________________|_______|_______|_______|
MAPLE
a:= n-> `if`(n in [1, 2], 10/n, iquo(n, 10, 'r')+
[0, 5, 4, 6, 4, 2, 4, 6, 5, 6][r+1]):
seq(a(n), n=0..100);
CROSSREFS
Row m=10 of A113881, A219158.
Sequence in context: A080461 A066578 A097327 * A007272 A061280 A030071
KEYWORD
nonn,easy
AUTHOR
Alois P. Heinz, Jun 12 2013
STATUS
approved