A342098 - cp's OEIS frontend

A342098 Number of (necessarily strict) integer partitions of n with all adjacent parts having quotients > 2.

n	a(n)
1	1
2	1
3	1
4	2
5	2
6	2
7	3
8	3
9	3
10	4
11	5
12	5
13	6
14	7
15	7
16	8
17	9
18	10
19	11
20	12
21	13
22	14
23	15
24	16
25	18
26	20
27	21
28	23
29	25
30	26
31	28
32	31
33	33
34	35
35	38
36	40
37	42
38	45
39	48
40	51
41	55
42	58
43	61
44	65
45	68
46	72
47	77
48	81
49	85
50	90
51	94
52	98
53	104
54	109
55	114
56	121
57	127
58	132
59	139
60	146

[1, 1, 1, 2, 2, 2, 3, 3, 3, 4, 5, 5, 6, 7, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 18, 20, 21, 23, 25, 26, 28, 31, 33, 35, 38, 40, 42, 45, 48, 51, 55, 58, 61, 65, 68, 72, 77, 81, 85, 90, 94, 98, 104, 109, 114, 121, 127, 132, 139, 146]

cp's OEIS Frontend

A342098 Number of (necessarily strict) integer partitions of n with all adjacent parts having quotients > 2.

Table of values

List of values

n	a(n)
1	1
2	1
3	1
4	2
5	2
6	2
7	3
8	3
9	3
10	4
11	5
12	5
13	6
14	7
15	7
16	8
17	9
18	10
19	11
20	12
21	13
22	14
23	15
24	16
25	18
26	20
27	21
28	23
29	25
30	26
31	28
32	31
33	33
34	35
35	38
36	40
37	42
38	45
39	48
40	51
41	55
42	58
43	61
44	65
45	68
46	72
47	77
48	81
49	85
50	90
51	94
52	98
53	104
54	109
55	114
56	121
57	127
58	132
59	139
60	146

n	a(n)
1	1
2	1
3	1
4	2
5	2
6	2
7	3
8	3
9	3
10	4
11	5
12	5
13	6
14	7
15	7
16	8
17	9
18	10
19	11
20	12
21	13
22	14
23	15
24	16
25	18
26	20
27	21
28	23
29	25
30	26
31	28
32	31
33	33
34	35
35	38
36	40
37	42
38	45
39	48
40	51
41	55
42	58
43	61
44	65
45	68
46	72
47	77
48	81
49	85
50	90
51	94
52	98
53	104
54	109
55	114
56	121
57	127
58	132
59	139
60	146

n	a(n)
1	1
2	1
3	1
4	2
5	2
6	2
7	3
8	3
9	3
10	4
11	5
12	5
13	6
14	7
15	7
16	8
17	9
18	10
19	11
20	12
21	13
22	14
23	15
24	16
25	18
26	20
27	21
28	23
29	25
30	26
31	28
32	31
33	33
34	35
35	38
36	40
37	42
38	45
39	48
40	51
41	55
42	58
43	61
44	65
45	68
46	72
47	77
48	81
49	85
50	90
51	94
52	98
53	104
54	109
55	114
56	121
57	127
58	132
59	139
60	146