A000223 - cp's OEIS frontend

A000223 Let A(n) = #{(i,j,k): i^2 + j^2 + k^2 <= n}, V(n) = (4/3)Pi*n^(3/2), P(n) = A(n) - V(n); A000092 gives values of n where |P(n)| sets a new record; sequence gives (nearest integer to, I believe) P(A000092(n)).

n	a(n)
1	3
2	7
3	10
4	19
5	32
6	34
7	37
8	51
9	81
10	119
11	122
12	134
13	157
14	160
15	161
16	174
17	221
18	252
19	254
20	294
21	305
22	309
23	364
24	371
25	405
26	580
27	682
28	734
29	756
30	763
31	776
32	959
33	1028
34	1105
35	1120
36	1170
37	1205
38	1550
39	1570
40	1576
41	1851
42	1930
43	2028
44	2404
45	2411
46	2565
47	2675
48	2895
49	2905
50	2940
51	3133
52	3211
53	3240
54	3428

[3, 7, 10, 19, 32, 34, 37, 51, 81, 119, 122, 134, 157, 160, 161, 174, 221, 252, 254, 294, 305, 309, 364, 371, 405, 580, 682, 734, 756, 763, 776, 959, 1028, 1105, 1120, 1170, 1205, 1550, 1570, 1576, 1851, 1930, 2028, 2404, 2411, 2565, 2675, 2895, 2905, 2940, 3133, 3211, 3240, 3428]

cp's OEIS Frontend

A000223 Let A(n) = #{(i,j,k): i^2 + j^2 + k^2 <= n}, V(n) = (4/3)Pi*n^(3/2), P(n) = A(n) - V(n); A000092 gives values of n where |P(n)| sets a new record; sequence gives (nearest integer to, I believe) P(A000092(n)).

Table of values

List of values