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Search: id:A108126
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| A108126 |
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Maximal number of squares of side 1 in an ellipse of semiaxes n,2n. |
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+0
1
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| 3, 17, 43, 83, 137, 203, 279, 369, 471, 587, 715, 857, 1011, 1175, 1351, 1541, 1743, 1961, 2191, 2429, 2683, 2949, 3227, 3523, 3829, 4137, 4469, 4809, 5167, 5539, 5913, 6295, 6701, 7127, 7555, 7999, 8449, 8909, 9395, 9889, 10395, 10915
(list; graph; listen)
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OFFSET
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1,1
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EXAMPLE
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a(1)=3 since you cannot pack more than 3 unit-side squares in an ellipse of semiaxes 1,2
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MATHEMATICA
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f[n_] := 2 Sum[IntegerPart[2 Sqrt[4 n^2 - (h - 1/2)^2]],
{h, 2, 2 n}] + IntegerPart[2 Sqrt[4 n^2 - 1/4]]; Array[f, 42]
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CROSSREFS
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Similar to A125228.
Adjacent sequences: A108123 A108124 A108125 this_sequence A108127 A108128 A108129
Sequence in context: A135471 A092347 A126587 this_sequence A106256 A091624 A106078
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KEYWORD
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easy,nonn
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AUTHOR
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Pasquale CUTOLO (p.cutolo(AT)inwind.it), Jun 14 2007
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