A354468 - cp's OEIS frontend

A354468 Number of possible ordered pairs (n_1, S) where (n_1, n_2, ..., n_k) is a partition of n, n_1 is the largest element of the partition, and S = Sum_{j=1..k} n_j^2.

n	a(n)
0	1
1	1
2	2
3	3
4	5
5	7
6	11
7	15
8	22
9	29
10	39
11	50
12	66
13	83
14	104
15	127
16	157
17	188
18	225
19	265
20	312
21	359
22	418
23	479
24	547
25	620
26	700
27	786
28	884
29	987
30	1094
31	1214
32	1348
33	1479
34	1627
35	1779
36	1945
37	2122
38	2313
39	2505
40	2719
41	2934
42	3161
43	3412
44	3666
45	3932
46	4218
47	4511
48	4820
49	5140
50	5477
51	5825

[1, 1, 2, 3, 5, 7, 11, 15, 22, 29, 39, 50, 66, 83, 104, 127, 157, 188, 225, 265, 312, 359, 418, 479, 547, 620, 700, 786, 884, 987, 1094, 1214, 1348, 1479, 1627, 1779, 1945, 2122, 2313, 2505, 2719, 2934, 3161, 3412, 3666, 3932, 4218, 4511, 4820, 5140, 5477, 5825]

cp's OEIS Frontend

A354468 Number of possible ordered pairs (n_1, S) where (n_1, n_2, ..., n_k) is a partition of n, n_1 is the largest element of the partition, and S = Sum_{j=1..k} n_j^2.

Table of values

List of values