A140312 - cp's OEIS frontend

A140312 Number of distinct values of Product_{p is in P} (m(p,P)+1) where m(p,P) is the multiplicity of part p in partition P, when P ranges over all partitions of n.

n	a(n)
1	1
2	2
3	3
4	5
5	5
6	10
7	10
8	16
9	18
10	24
11	27
12	41
13	42
14	54
15	63
16	82
17	88
18	114
19	123
20	153
21	168
22	205
23	224
24	278
25	296
26	356
27	388
28	462
29	497
30	587
31	634
32	746
33	795
34	934
35	987
36	1159
37	1241
38	1427
39	1521
40	1750
41	1862
42	2120
43	2270
44	2578
45	2726
46	3108
47	3291
48	3723
49	3937
50	4425
51	4686
52	5278
53	5569
54	6208
55	6552
56	7328
57	7720
58	8609
59	9072

[1, 2, 3, 5, 5, 10, 10, 16, 18, 24, 27, 41, 42, 54, 63, 82, 88, 114, 123, 153, 168, 205, 224, 278, 296, 356, 388, 462, 497, 587, 634, 746, 795, 934, 987, 1159, 1241, 1427, 1521, 1750, 1862, 2120, 2270, 2578, 2726, 3108, 3291, 3723, 3937, 4425, 4686, 5278, 5569, 6208, 6552, 7328, 7720, 8609, 9072]

cp's OEIS Frontend

A140312 Number of distinct values of Product_{p is in P} (m(p,P)+1) where m(p,P) is the multiplicity of part p in partition P, when P ranges over all partitions of n.

Table of values

List of values