A366977 - cp's OEIS frontend

A366977 Array T(n,k), n >= 1, k >= 0, read by antidiagonals downwards, where T(n,k) = Sum_{j=1..n} binomial(floor(n/j)+k,k+1).

n	a(n)
1	1
2	1
3	3
4	1
5	4
6	5
7	1
8	5
9	8
10	8
11	1
12	6
13	12
14	15
15	10
16	1
17	7
18	17
19	26
20	21
21	14
22	1
23	8
24	23
25	42
26	42
27	33
28	16
29	1
30	9
31	30
32	64
33	78
34	73
35	41
36	20
37	1
38	10
39	38
40	93
41	135
42	149
43	102
44	56
45	23
46	1
47	11
48	47
49	130
50	220
51	282
52	234
53	152
54	69
55	27
56	1
57	12
58	57
59	176
60	341
61	500
62	493
63	379
64	204
65	87
66	29

[1, 1, 3, 1, 4, 5, 1, 5, 8, 8, 1, 6, 12, 15, 10, 1, 7, 17, 26, 21, 14, 1, 8, 23, 42, 42, 33, 16, 1, 9, 30, 64, 78, 73, 41, 20, 1, 10, 38, 93, 135, 149, 102, 56, 23, 1, 11, 47, 130, 220, 282, 234, 152, 69, 27, 1, 12, 57, 176, 341, 500, 493, 379, 204, 87, 29]

cp's OEIS Frontend

A366977 Array T(n,k), n >= 1, k >= 0, read by antidiagonals downwards, where T(n,k) = Sum_{j=1..n} binomial(floor(n/j)+k,k+1).

Table of values

List of values

n	a(n)
1	1
2	1
3	3
4	1
5	4
6	5
7	1
8	5
9	8
10	8
11	1
12	6
13	12
14	15
15	10
16	1
17	7
18	17
19	26
20	21
21	14
22	1
23	8
24	23
25	42
26	42
27	33
28	16
29	1
30	9
31	30
32	64
33	78
34	73
35	41
36	20
37	1
38	10
39	38
40	93
41	135
42	149
43	102
44	56
45	23
46	1
47	11
48	47
49	130
50	220
51	282
52	234
53	152
54	69
55	27
56	1
57	12
58	57
59	176
60	341
61	500
62	493
63	379
64	204
65	87
66	29

n	a(n)
1	1
2	1
3	3
4	1
5	4
6	5
7	1
8	5
9	8
10	8
11	1
12	6
13	12
14	15
15	10
16	1
17	7
18	17
19	26
20	21
21	14
22	1
23	8
24	23
25	42
26	42
27	33
28	16
29	1
30	9
31	30
32	64
33	78
34	73
35	41
36	20
37	1
38	10
39	38
40	93
41	135
42	149
43	102
44	56
45	23
46	1
47	11
48	47
49	130
50	220
51	282
52	234
53	152
54	69
55	27
56	1
57	12
58	57
59	176
60	341
61	500
62	493
63	379
64	204
65	87
66	29

n	a(n)
1	1
2	1
3	3
4	1
5	4
6	5
7	1
8	5
9	8
10	8
11	1
12	6
13	12
14	15
15	10
16	1
17	7
18	17
19	26
20	21
21	14
22	1
23	8
24	23
25	42
26	42
27	33
28	16
29	1
30	9
31	30
32	64
33	78
34	73
35	41
36	20
37	1
38	10
39	38
40	93
41	135
42	149
43	102
44	56
45	23
46	1
47	11
48	47
49	130
50	220
51	282
52	234
53	152
54	69
55	27
56	1
57	12
58	57
59	176
60	341
61	500
62	493
63	379
64	204
65	87
66	29