A287144 - cp's OEIS frontend

A287144 Number of partitions of n such that the absolute difference between any part i and the sum of all other parts not larger than i is not larger than two.

n	a(n)
0	1
1	1
2	2
3	2
4	4
5	4
6	7
7	6
8	10
9	8
10	15
11	11
12	17
13	13
14	23
15	16
16	24
17	18
18	33
19	23
20	34
21	26
22	43
23	28
24	41
25	30
26	53
27	36
28	52
29	39
30	63
31	40
32	58
33	42
34	75
35	51
36	74
37	56
38	90
39	57
40	83
41	60
42	103
43	69
44	97
45	71
46	112
47	69
48	99
49	71
50	124
51	83
52	119
53	89
54	141
55	88
56	127
57	91
58	154
59	102
60	142
61	103
62	161
63	98

[1, 1, 2, 2, 4, 4, 7, 6, 10, 8, 15, 11, 17, 13, 23, 16, 24, 18, 33, 23, 34, 26, 43, 28, 41, 30, 53, 36, 52, 39, 63, 40, 58, 42, 75, 51, 74, 56, 90, 57, 83, 60, 103, 69, 97, 71, 112, 69, 99, 71, 124, 83, 119, 89, 141, 88, 127, 91, 154, 102, 142, 103, 161, 98]

cp's OEIS Frontend

A287144 Number of partitions of n such that the absolute difference between any part i and the sum of all other parts not larger than i is not larger than two.

Table of values

List of values

n	a(n)
0	1
1	1
2	2
3	2
4	4
5	4
6	7
7	6
8	10
9	8
10	15
11	11
12	17
13	13
14	23
15	16
16	24
17	18
18	33
19	23
20	34
21	26
22	43
23	28
24	41
25	30
26	53
27	36
28	52
29	39
30	63
31	40
32	58
33	42
34	75
35	51
36	74
37	56
38	90
39	57
40	83
41	60
42	103
43	69
44	97
45	71
46	112
47	69
48	99
49	71
50	124
51	83
52	119
53	89
54	141
55	88
56	127
57	91
58	154
59	102
60	142
61	103
62	161
63	98

n	a(n)
0	1
1	1
2	2
3	2
4	4
5	4
6	7
7	6
8	10
9	8
10	15
11	11
12	17
13	13
14	23
15	16
16	24
17	18
18	33
19	23
20	34
21	26
22	43
23	28
24	41
25	30
26	53
27	36
28	52
29	39
30	63
31	40
32	58
33	42
34	75
35	51
36	74
37	56
38	90
39	57
40	83
41	60
42	103
43	69
44	97
45	71
46	112
47	69
48	99
49	71
50	124
51	83
52	119
53	89
54	141
55	88
56	127
57	91
58	154
59	102
60	142
61	103
62	161
63	98

n	a(n)
0	1
1	1
2	2
3	2
4	4
5	4
6	7
7	6
8	10
9	8
10	15
11	11
12	17
13	13
14	23
15	16
16	24
17	18
18	33
19	23
20	34
21	26
22	43
23	28
24	41
25	30
26	53
27	36
28	52
29	39
30	63
31	40
32	58
33	42
34	75
35	51
36	74
37	56
38	90
39	57
40	83
41	60
42	103
43	69
44	97
45	71
46	112
47	69
48	99
49	71
50	124
51	83
52	119
53	89
54	141
55	88
56	127
57	91
58	154
59	102
60	142
61	103
62	161
63	98