A119677 a(n) is the number of complete squares that fit inside the circle with radius n, drawn on squared paper at (0, 0).

0, 0, 4, 16, 32, 60, 88, 120, 164, 216, 276, 332, 392, 476, 556, 648, 732, 832, 936, 1052, 1176, 1288, 1428, 1560, 1696, 1860, 2016, 2180, 2340, 2512, 2700, 2876, 3080, 3276, 3488, 3712, 3908, 4144, 4360, 4620, 4864, 5096, 5356, 5616, 5900

Offset

0,3

Comments

a(n) = 4 * A001182(n).

Limit_{n->oo} a(n)/(n^2) = Pi.

Links

Table of n, a(n) for n=0..44.

Crossrefs

Cf. A001182.

Sequence in context: A359195 A031050 A243980 * A326873 A126032 A296819

Adjacent sequences: A119674 A119675 A119676 * A119678 A119679 A119680

Keyword

nonn

Author

Tomas Kyselica (Tomas.Kyselica(AT)gmail.com), Jul 29 2006

Extensions

More terms from Don Reble, Aug 01 2006

Name clarified by Kirill Zolotuskiy, Apr 15 2023

Status

approved