A134431 - cp's OEIS frontend

A134431 Triangle read by rows: T(n,k) is the number of arrangements of the set {1,2,...,n} in which the sum of the entries is equal to k (n >= 0, k >= 0; to n=0 there corresponds the empty set).

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	1
6	2
7	1
8	1
9	1
10	3
11	2
12	2
13	6
14	1
15	1
16	1
17	3
18	3
19	4
20	8
21	8
22	6
23	6
24	24
25	1
26	1
27	1
28	3
29	3
30	5
31	10
32	10
33	14
34	14
35	36
36	30
37	30
38	24
39	24
40	120
41	1
42	1
43	1
44	3
45	3
46	5
47	11
48	12
49	16
50	22
51	44
52	44
53	66
54	60
55	78
56	174
57	168
58	144
59	144
60	120
61	120
62	720
63	1
64	1
65	1
66	3
67	3
68	5
69	11
70	13
71	18
72	24
73	52
74	52
75	80
76	98
77	120
78	234

[1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 3, 2, 2, 6, 1, 1, 1, 3, 3, 4, 8, 8, 6, 6, 24, 1, 1, 1, 3, 3, 5, 10, 10, 14, 14, 36, 30, 30, 24, 24, 120, 1, 1, 1, 3, 3, 5, 11, 12, 16, 22, 44, 44, 66, 60, 78, 174, 168, 144, 144, 120, 120, 720, 1, 1, 1, 3, 3, 5, 11, 13, 18, 24, 52, 52, 80, 98, 120, 234]

cp's OEIS Frontend

A134431 Triangle read by rows: T(n,k) is the number of arrangements of the set {1,2,...,n} in which the sum of the entries is equal to k (n >= 0, k >= 0; to n=0 there corresponds the empty set).

Table of values

List of values

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	1
6	2
7	1
8	1
9	1
10	3
11	2
12	2
13	6
14	1
15	1
16	1
17	3
18	3
19	4
20	8
21	8
22	6
23	6
24	24
25	1
26	1
27	1
28	3
29	3
30	5
31	10
32	10
33	14
34	14
35	36
36	30
37	30
38	24
39	24
40	120
41	1
42	1
43	1
44	3
45	3
46	5
47	11
48	12
49	16
50	22
51	44
52	44
53	66
54	60
55	78
56	174
57	168
58	144
59	144
60	120
61	120
62	720
63	1
64	1
65	1
66	3
67	3
68	5
69	11
70	13
71	18
72	24
73	52
74	52
75	80
76	98
77	120
78	234

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	1
6	2
7	1
8	1
9	1
10	3
11	2
12	2
13	6
14	1
15	1
16	1
17	3
18	3
19	4
20	8
21	8
22	6
23	6
24	24
25	1
26	1
27	1
28	3
29	3
30	5
31	10
32	10
33	14
34	14
35	36
36	30
37	30
38	24
39	24
40	120
41	1
42	1
43	1
44	3
45	3
46	5
47	11
48	12
49	16
50	22
51	44
52	44
53	66
54	60
55	78
56	174
57	168
58	144
59	144
60	120
61	120
62	720
63	1
64	1
65	1
66	3
67	3
68	5
69	11
70	13
71	18
72	24
73	52
74	52
75	80
76	98
77	120
78	234

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	1
6	2
7	1
8	1
9	1
10	3
11	2
12	2
13	6
14	1
15	1
16	1
17	3
18	3
19	4
20	8
21	8
22	6
23	6
24	24
25	1
26	1
27	1
28	3
29	3
30	5
31	10
32	10
33	14
34	14
35	36
36	30
37	30
38	24
39	24
40	120
41	1
42	1
43	1
44	3
45	3
46	5
47	11
48	12
49	16
50	22
51	44
52	44
53	66
54	60
55	78
56	174
57	168
58	144
59	144
60	120
61	120
62	720
63	1
64	1
65	1
66	3
67	3
68	5
69	11
70	13
71	18
72	24
73	52
74	52
75	80
76	98
77	120
78	234