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A125228
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Maximal number of squares of side 1 in a disk of radius n.
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1
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1, 7, 21, 39, 65, 93, 135, 179, 227, 285, 349, 415, 495, 573, 663, 759, 859, 963, 1071, 1199, 1325, 1457, 1591, 1735, 1891, 2049, 2207, 2383, 2557, 2735, 2929, 3123, 3327, 3529, 3739, 3955, 4191, 4427, 4665, 4901, 5159, 5413, 5681, 5951, 6231, 6515, 6799
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OFFSET
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1,2
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LINKS
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EXAMPLE
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a(2)=7 since you cannot pack more than 7 unit-side squares in a disk of radius 2
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MATHEMATICA
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f[n_] := 2 Sum[ IntegerPart[2 Sqrt[n^2 - (n - k - 1/2)^2]], {k, 0, n - 2}] + IntegerPart[2 Sqrt[n^2 - 1/2^2]]; Array[f, 47] (* Robert G. Wilson v *)
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CROSSREFS
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Similar to A001182 but less constrained.
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KEYWORD
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easy,nonn
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AUTHOR
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Filippo ALUFFI PENTINI (falpen(AT)gmail.com), Jan 25 2007
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EXTENSIONS
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STATUS
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approved
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