A303743 - cp's OEIS frontend

A303743 a(n) is a number of lattice points in 3D Cartesian grid between cube with edge length 2*n centered in origin and its inscribed sphere. Three pairs of the cube's faces are parallel to the planes XOY, XOZ, YOZ respectively.

n	a(n)
1	0
2	0
3	8
4	92
5	220
6	412
7	784
8	1272
9	1848
10	2696
11	3692
12	5020
13	6460
14	8176
15	10248
16	12720
17	15464
18	18476
19	21988
20	25924
21	30016
22	35040
23	40248
24	46052
25	52388
26	59132
27	66364
28	74416
29	83256
30	92304
31	102500
32	112988
33	124076
34	136252
35	148936
36	162648
37	176928
38	192332
39	208100
40	225284
41	243088

[0, 0, 8, 92, 220, 412, 784, 1272, 1848, 2696, 3692, 5020, 6460, 8176, 10248, 12720, 15464, 18476, 21988, 25924, 30016, 35040, 40248, 46052, 52388, 59132, 66364, 74416, 83256, 92304, 102500, 112988, 124076, 136252, 148936, 162648, 176928, 192332, 208100, 225284, 243088]

cp's OEIS Frontend

A303743 a(n) is a number of lattice points in 3D Cartesian grid between cube with edge length 2*n centered in origin and its inscribed sphere. Three pairs of the cube's faces are parallel to the planes XOY, XOZ, YOZ respectively.

Table of values

List of values