A373271 - cp's OEIS frontend

A373271 a(n) = sum for all integer partitions of n of the number of distinct multiplicities in each partition.

n	a(n)
1	1
2	2
3	3
4	6
5	10
6	14
7	24
8	34
9	49
10	70
11	103
12	134
13	195
14	258
15	347
16	461
17	624
18	796
19	1066
20	1358
21	1763
22	2250
23	2903
24	3631
25	4644
26	5805
27	7309
28	9083
29	11381
30	13998
31	17428
32	21369
33	26336
34	32174
35	39451
36	47847
37	58399
38	70610
39	85590
40	103077
41	124462
42	149169
43	179368
44	214300
45	256397

[1, 2, 3, 6, 10, 14, 24, 34, 49, 70, 103, 134, 195, 258, 347, 461, 624, 796, 1066, 1358, 1763, 2250, 2903, 3631, 4644, 5805, 7309, 9083, 11381, 13998, 17428, 21369, 26336, 32174, 39451, 47847, 58399, 70610, 85590, 103077, 124462, 149169, 179368, 214300, 256397]

cp's OEIS Frontend

A373271 a(n) = sum for all integer partitions of n of the number of distinct multiplicities in each partition.

Table of values

List of values