A373120 - cp's OEIS frontend

A373120 Number of distinct possible binary ranks of integer partitions of n, where the binary rank of a partition y is given by Sum_i 2^(y_i-1).

n	a(n)
0	1
1	1
2	1
3	2
4	3
5	4
6	6
7	8
8	11
9	15
10	20
11	26
12	33
13	43
14	55
15	70
16	89
17	109
18	136
19	167
20	206
21	251
22	306
23	371
24	445
25	535
26	639
27	759
28	904
29	1069
30	1262
31	1489
32	1747
33	2047
34	2390
35	2784
36	3237
37	3754
38	4350
39	5027
40	5798
41	6680
42	7671
43	8808
44	10091
45	11543
46	13190
47	15040
48	17128
49	19477
50	22118

[1, 1, 1, 2, 3, 4, 6, 8, 11, 15, 20, 26, 33, 43, 55, 70, 89, 109, 136, 167, 206, 251, 306, 371, 445, 535, 639, 759, 904, 1069, 1262, 1489, 1747, 2047, 2390, 2784, 3237, 3754, 4350, 5027, 5798, 6680, 7671, 8808, 10091, 11543, 13190, 15040, 17128, 19477, 22118]

cp's OEIS Frontend

A373120 Number of distinct possible binary ranks of integer partitions of n, where the binary rank of a partition y is given by Sum_i 2^(y_i-1).

Table of values

List of values