A268193 - cp's OEIS frontend

A268193 Triangle read by rows: T(n,k) (n>=1, k>=0) is the number of partitions of n which have k distinct parts i such that i+1 is also a part.

n	a(n)
1	1
2	2
3	2
4	1
5	4
6	1
7	4
8	3
9	8
10	2
11	1
12	8
13	6
14	1
15	13
16	7
17	2
18	15
19	11
20	4
21	22
22	15
23	4
24	1
25	24
26	24
27	7
28	1
29	37
30	26
31	12
32	2
33	40
34	42
35	16
36	3
37	57
38	50
39	22
40	6
41	64
42	72
43	33
44	6
45	1
46	89
47	84
48	46
49	11
50	1
51	98
52	122
53	60
54	15
55	2
56	135
57	141
58	82
59	24
60	3
61	149
62	198
63	106
64	32
65	5
66	199
67	231
68	144
69	45
70	8
71	224
72	309
73	187
74	61
75	10
76	1

[1, 2, 2, 1, 4, 1, 4, 3, 8, 2, 1, 8, 6, 1, 13, 7, 2, 15, 11, 4, 22, 15, 4, 1, 24, 24, 7, 1, 37, 26, 12, 2, 40, 42, 16, 3, 57, 50, 22, 6, 64, 72, 33, 6, 1, 89, 84, 46, 11, 1, 98, 122, 60, 15, 2, 135, 141, 82, 24, 3, 149, 198, 106, 32, 5, 199, 231, 144, 45, 8, 224, 309, 187, 61, 10, 1]

cp's OEIS Frontend

A268193 Triangle read by rows: T(n,k) (n>=1, k>=0) is the number of partitions of n which have k distinct parts i such that i+1 is also a part.

Table of values

List of values

n	a(n)
1	1
2	2
3	2
4	1
5	4
6	1
7	4
8	3
9	8
10	2
11	1
12	8
13	6
14	1
15	13
16	7
17	2
18	15
19	11
20	4
21	22
22	15
23	4
24	1
25	24
26	24
27	7
28	1
29	37
30	26
31	12
32	2
33	40
34	42
35	16
36	3
37	57
38	50
39	22
40	6
41	64
42	72
43	33
44	6
45	1
46	89
47	84
48	46
49	11
50	1
51	98
52	122
53	60
54	15
55	2
56	135
57	141
58	82
59	24
60	3
61	149
62	198
63	106
64	32
65	5
66	199
67	231
68	144
69	45
70	8
71	224
72	309
73	187
74	61
75	10
76	1

n	a(n)
1	1
2	2
3	2
4	1
5	4
6	1
7	4
8	3
9	8
10	2
11	1
12	8
13	6
14	1
15	13
16	7
17	2
18	15
19	11
20	4
21	22
22	15
23	4
24	1
25	24
26	24
27	7
28	1
29	37
30	26
31	12
32	2
33	40
34	42
35	16
36	3
37	57
38	50
39	22
40	6
41	64
42	72
43	33
44	6
45	1
46	89
47	84
48	46
49	11
50	1
51	98
52	122
53	60
54	15
55	2
56	135
57	141
58	82
59	24
60	3
61	149
62	198
63	106
64	32
65	5
66	199
67	231
68	144
69	45
70	8
71	224
72	309
73	187
74	61
75	10
76	1

n	a(n)
1	1
2	2
3	2
4	1
5	4
6	1
7	4
8	3
9	8
10	2
11	1
12	8
13	6
14	1
15	13
16	7
17	2
18	15
19	11
20	4
21	22
22	15
23	4
24	1
25	24
26	24
27	7
28	1
29	37
30	26
31	12
32	2
33	40
34	42
35	16
36	3
37	57
38	50
39	22
40	6
41	64
42	72
43	33
44	6
45	1
46	89
47	84
48	46
49	11
50	1
51	98
52	122
53	60
54	15
55	2
56	135
57	141
58	82
59	24
60	3
61	149
62	198
63	106
64	32
65	5
66	199
67	231
68	144
69	45
70	8
71	224
72	309
73	187
74	61
75	10
76	1