A229119 - cp's OEIS frontend

A229119 a(n) is the (reversed lexicographic, alias Mathematica ordering) rank of the partition associated with integer n by encoding the run lengths of the binary representation of n.

n	a(n)
1	1
2	3
3	2
4	9
5	6
6	5
7	4
8	23
9	16
10	11
11	26
12	14
13	10
14	8
15	7
16	52
17	37
18	27
19	57
20	62
21	18
22	41
23	85
24	34
25	24
26	17
27	38
28	21
29	15
30	13
31	12
32	109
33	79
34	58
35	116
36	126
37	42
38	86
39	168
40	253
41	92
42	29
43	133
44	179
45	63
46	125
47	238
48	74
49	53
50	39
51	80
52	88
53	28
54	59
55	118
56	49
57	35
58	25
59	54
60	32
61	22
62	20
63	19
64	214
65	158
66	117
67	225
68	240
69	87
70	169
71	316
72	463
73	181
74	64
75	256
76	335
77	127
78	239
79	438
80	851
81	352
82	134
83	484
84	265
85	44
86	189
87	657
88	630
89	254
90	93
91	353
92	461
93	180
94	334
95	600
96	151
97	110
98	81
99	159
100	172
101	60

[1, 3, 2, 9, 6, 5, 4, 23, 16, 11, 26, 14, 10, 8, 7, 52, 37, 27, 57, 62, 18, 41, 85, 34, 24, 17, 38, 21, 15, 13, 12, 109, 79, 58, 116, 126, 42, 86, 168, 253, 92, 29, 133, 179, 63, 125, 238, 74, 53, 39, 80, 88, 28, 59, 118, 49, 35, 25, 54, 32, 22, 20, 19, 214, 158, 117, 225, 240, 87, 169, 316, 463, 181, 64, 256, 335, 127, 239, 438, 851, 352, 134, 484, 265, 44, 189, 657, 630, 254, 93, 353, 461, 180, 334, 600, 151, 110, 81, 159, 172, 60]

cp's OEIS Frontend

A229119 a(n) is the (reversed lexicographic, alias Mathematica ordering) rank of the partition associated with integer n by encoding the run lengths of the binary representation of n.

Table of values

List of values

n	a(n)
1	1
2	3
3	2
4	9
5	6
6	5
7	4
8	23
9	16
10	11
11	26
12	14
13	10
14	8
15	7
16	52
17	37
18	27
19	57
20	62
21	18
22	41
23	85
24	34
25	24
26	17
27	38
28	21
29	15
30	13
31	12
32	109
33	79
34	58
35	116
36	126
37	42
38	86
39	168
40	253
41	92
42	29
43	133
44	179
45	63
46	125
47	238
48	74
49	53
50	39
51	80
52	88
53	28
54	59
55	118
56	49
57	35
58	25
59	54
60	32
61	22
62	20
63	19
64	214
65	158
66	117
67	225
68	240
69	87
70	169
71	316
72	463
73	181
74	64
75	256
76	335
77	127
78	239
79	438
80	851
81	352
82	134
83	484
84	265
85	44
86	189
87	657
88	630
89	254
90	93
91	353
92	461
93	180
94	334
95	600
96	151
97	110
98	81
99	159
100	172
101	60

n	a(n)
1	1
2	3
3	2
4	9
5	6
6	5
7	4
8	23
9	16
10	11
11	26
12	14
13	10
14	8
15	7
16	52
17	37
18	27
19	57
20	62
21	18
22	41
23	85
24	34
25	24
26	17
27	38
28	21
29	15
30	13
31	12
32	109
33	79
34	58
35	116
36	126
37	42
38	86
39	168
40	253
41	92
42	29
43	133
44	179
45	63
46	125
47	238
48	74
49	53
50	39
51	80
52	88
53	28
54	59
55	118
56	49
57	35
58	25
59	54
60	32
61	22
62	20
63	19
64	214
65	158
66	117
67	225
68	240
69	87
70	169
71	316
72	463
73	181
74	64
75	256
76	335
77	127
78	239
79	438
80	851
81	352
82	134
83	484
84	265
85	44
86	189
87	657
88	630
89	254
90	93
91	353
92	461
93	180
94	334
95	600
96	151
97	110
98	81
99	159
100	172
101	60

n	a(n)
1	1
2	3
3	2
4	9
5	6
6	5
7	4
8	23
9	16
10	11
11	26
12	14
13	10
14	8
15	7
16	52
17	37
18	27
19	57
20	62
21	18
22	41
23	85
24	34
25	24
26	17
27	38
28	21
29	15
30	13
31	12
32	109
33	79
34	58
35	116
36	126
37	42
38	86
39	168
40	253
41	92
42	29
43	133
44	179
45	63
46	125
47	238
48	74
49	53
50	39
51	80
52	88
53	28
54	59
55	118
56	49
57	35
58	25
59	54
60	32
61	22
62	20
63	19
64	214
65	158
66	117
67	225
68	240
69	87
70	169
71	316
72	463
73	181
74	64
75	256
76	335
77	127
78	239
79	438
80	851
81	352
82	134
83	484
84	265
85	44
86	189
87	657
88	630
89	254
90	93
91	353
92	461
93	180
94	334
95	600
96	151
97	110
98	81
99	159
100	172
101	60