A121775 - cp's OEIS frontend

A121775 T(n, k) = Sum_{d|n} phi(n/d)*binomial(d,k) for n>0, T(0, 0) = 1. Triangle read by rows, for 0 <= k <= n.

n	a(n)
0	1
1	1
2	1
3	2
4	3
5	1
6	3
7	5
8	3
9	1
10	4
11	8
12	7
13	4
14	1
15	5
16	9
17	10
18	10
19	5
20	1
21	6
22	15
23	20
24	21
25	15
26	6
27	1
28	7
29	13
30	21
31	35
32	35
33	21
34	7
35	1
36	8
37	20
38	36
39	60
40	71
41	56
42	28
43	8
44	1
45	9
46	21
47	42
48	86
49	126
50	126
51	84
52	36
53	9
54	1
55	10
56	27
57	59
58	130
59	215
60	253
61	210
62	120
63	45
64	10
65	1
66	11
67	21
68	55
69	165
70	330
71	462
72	462
73	330
74	165
75	55

[1, 1, 1, 2, 3, 1, 3, 5, 3, 1, 4, 8, 7, 4, 1, 5, 9, 10, 10, 5, 1, 6, 15, 20, 21, 15, 6, 1, 7, 13, 21, 35, 35, 21, 7, 1, 8, 20, 36, 60, 71, 56, 28, 8, 1, 9, 21, 42, 86, 126, 126, 84, 36, 9, 1, 10, 27, 59, 130, 215, 253, 210, 120, 45, 10, 1, 11, 21, 55, 165, 330, 462, 462, 330, 165, 55]

cp's OEIS Frontend

A121775 T(n, k) = Sum_{d|n} phi(n/d)*binomial(d,k) for n>0, T(0, 0) = 1. Triangle read by rows, for 0 <= k <= n.

Table of values

List of values

n	a(n)
0	1
1	1
2	1
3	2
4	3
5	1
6	3
7	5
8	3
9	1
10	4
11	8
12	7
13	4
14	1
15	5
16	9
17	10
18	10
19	5
20	1
21	6
22	15
23	20
24	21
25	15
26	6
27	1
28	7
29	13
30	21
31	35
32	35
33	21
34	7
35	1
36	8
37	20
38	36
39	60
40	71
41	56
42	28
43	8
44	1
45	9
46	21
47	42
48	86
49	126
50	126
51	84
52	36
53	9
54	1
55	10
56	27
57	59
58	130
59	215
60	253
61	210
62	120
63	45
64	10
65	1
66	11
67	21
68	55
69	165
70	330
71	462
72	462
73	330
74	165
75	55

n	a(n)
0	1
1	1
2	1
3	2
4	3
5	1
6	3
7	5
8	3
9	1
10	4
11	8
12	7
13	4
14	1
15	5
16	9
17	10
18	10
19	5
20	1
21	6
22	15
23	20
24	21
25	15
26	6
27	1
28	7
29	13
30	21
31	35
32	35
33	21
34	7
35	1
36	8
37	20
38	36
39	60
40	71
41	56
42	28
43	8
44	1
45	9
46	21
47	42
48	86
49	126
50	126
51	84
52	36
53	9
54	1
55	10
56	27
57	59
58	130
59	215
60	253
61	210
62	120
63	45
64	10
65	1
66	11
67	21
68	55
69	165
70	330
71	462
72	462
73	330
74	165
75	55

n	a(n)
0	1
1	1
2	1
3	2
4	3
5	1
6	3
7	5
8	3
9	1
10	4
11	8
12	7
13	4
14	1
15	5
16	9
17	10
18	10
19	5
20	1
21	6
22	15
23	20
24	21
25	15
26	6
27	1
28	7
29	13
30	21
31	35
32	35
33	21
34	7
35	1
36	8
37	20
38	36
39	60
40	71
41	56
42	28
43	8
44	1
45	9
46	21
47	42
48	86
49	126
50	126
51	84
52	36
53	9
54	1
55	10
56	27
57	59
58	130
59	215
60	253
61	210
62	120
63	45
64	10
65	1
66	11
67	21
68	55
69	165
70	330
71	462
72	462
73	330
74	165
75	55