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A339623 Consider a square drawn on the perimeter of a square lattice with side length n. a(n) is the number of regions inside the square after drawing unit circles centered at each interior lattice point of the square.

Table of values

n a(n)
1 1
2 5
3 21
4 52
5 97
6 156
7 229
8 316
9 417
10 532
11 661
12 804
13 961
14 1132
15 1317
16 1516
17 1729
18 1956
19 2197
20 2452
21 2721
22 3004
23 3301
24 3612
25 3937
26 4276
27 4629
28 4996
29 5377
30 5772
31 6181
32 6604
33 7041
34 7492
35 7957
36 8436
37 8929
38 9436
39 9957
40 10492
41 11041
42 11604
43 12181
44 12772
45 13377
46 13996
47 14629
48 15276
49 15937
50 16612
51 17301

List of values

[1, 5, 21, 52, 97, 156, 229, 316, 417, 532, 661, 804, 961, 1132, 1317, 1516, 1729, 1956, 2197, 2452, 2721, 3004, 3301, 3612, 3937, 4276, 4629, 4996, 5377, 5772, 6181, 6604, 7041, 7492, 7957, 8436, 8929, 9436, 9957, 10492, 11041, 11604, 12181, 12772, 13377, 13996, 14629, 15276, 15937, 16612, 17301]