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A125228 Maximal number of squares of side 1 in a disk of radius n. 1
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..47.

EXAMPLE

a(2)=7 since you cannot pack more than 7 unit-side squares in a disk of radius 2

MATHEMATICA

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 *)

CROSSREFS

Similar to A001182 but less constrained.

Sequence in context: A009475 A063292 A045524 * A024837 A205864 A162818

Adjacent sequences:  A125225 A125226 A125227 * A125229 A125230 A125231

KEYWORD

easy,nonn

AUTHOR

Filippo ALUFFI PENTINI (falpen(AT)gmail.com), Jan 25 2007

EXTENSIONS

More terms from Robert G. Wilson v, Jan 27 2007

STATUS

approved

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Last modified October 31 05:06 EDT 2020. Contains 338098 sequences. (Running on oeis4.)