A111212 - cp's OEIS frontend

A111212 Number of distinct integers d(pi), where pi ranges over all partitions of n into distinct parts and d(pi) = sum of squares of parts of pi.

n	a(n)
0	1
1	1
2	1
3	2
4	2
5	3
6	4
7	5
8	6
9	7
10	10
11	12
12	12
13	18
14	20
15	23
16	27
17	35
18	32
19	46
20	48
21	55
22	59
23	79
24	74
25	94
26	101
27	110
28	127
29	144
30	134
31	172
32	180
33	189
34	205
35	235
36	237
37	266
38	282
39	303
40	323
41	352
42	346
43	391
44	403
45	436
46	453
47	497
48	492
49	547
50	555
51	596
52	606
53	661
54	670
55	724
56	741
57	775
58	806
59	861

[1, 1, 1, 2, 2, 3, 4, 5, 6, 7, 10, 12, 12, 18, 20, 23, 27, 35, 32, 46, 48, 55, 59, 79, 74, 94, 101, 110, 127, 144, 134, 172, 180, 189, 205, 235, 237, 266, 282, 303, 323, 352, 346, 391, 403, 436, 453, 497, 492, 547, 555, 596, 606, 661, 670, 724, 741, 775, 806, 861]

cp's OEIS Frontend

A111212 Number of distinct integers d(pi), where pi ranges over all partitions of n into distinct parts and d(pi) = sum of squares of parts of pi.

Table of values

List of values

n	a(n)
0	1
1	1
2	1
3	2
4	2
5	3
6	4
7	5
8	6
9	7
10	10
11	12
12	12
13	18
14	20
15	23
16	27
17	35
18	32
19	46
20	48
21	55
22	59
23	79
24	74
25	94
26	101
27	110
28	127
29	144
30	134
31	172
32	180
33	189
34	205
35	235
36	237
37	266
38	282
39	303
40	323
41	352
42	346
43	391
44	403
45	436
46	453
47	497
48	492
49	547
50	555
51	596
52	606
53	661
54	670
55	724
56	741
57	775
58	806
59	861

n	a(n)
0	1
1	1
2	1
3	2
4	2
5	3
6	4
7	5
8	6
9	7
10	10
11	12
12	12
13	18
14	20
15	23
16	27
17	35
18	32
19	46
20	48
21	55
22	59
23	79
24	74
25	94
26	101
27	110
28	127
29	144
30	134
31	172
32	180
33	189
34	205
35	235
36	237
37	266
38	282
39	303
40	323
41	352
42	346
43	391
44	403
45	436
46	453
47	497
48	492
49	547
50	555
51	596
52	606
53	661
54	670
55	724
56	741
57	775
58	806
59	861

n	a(n)
0	1
1	1
2	1
3	2
4	2
5	3
6	4
7	5
8	6
9	7
10	10
11	12
12	12
13	18
14	20
15	23
16	27
17	35
18	32
19	46
20	48
21	55
22	59
23	79
24	74
25	94
26	101
27	110
28	127
29	144
30	134
31	172
32	180
33	189
34	205
35	235
36	237
37	266
38	282
39	303
40	323
41	352
42	346
43	391
44	403
45	436
46	453
47	497
48	492
49	547
50	555
51	596
52	606
53	661
54	670
55	724
56	741
57	775
58	806
59	861