A361682 - cp's OEIS frontend

A361682 Array read by descending antidiagonals. A(n, k) is the number of multiset combinations of {0, 1} whose type is defined in the comments. Also A(n, k) = hypergeom([-k, -2], [1], n).

n	a(n)
0	1
1	1
2	1
3	1
4	3
5	1
6	1
7	6
8	5
9	1
10	1
11	10
12	13
13	7
14	1
15	1
16	15
17	25
18	22
19	9
20	1
21	1
22	21
23	41
24	46
25	33
26	11
27	1
28	1
29	28
30	61
31	79
32	73
33	46
34	13
35	1
36	1
37	36
38	85
39	121
40	129
41	106
42	61
43	15
44	1
45	1
46	45
47	113
48	172
49	201
50	191
51	145
52	78
53	17
54	1
55	1
56	55
57	145
58	232
59	289
60	301
61	265
62	190
63	97
64	19
65	1

[1, 1, 1, 1, 3, 1, 1, 6, 5, 1, 1, 10, 13, 7, 1, 1, 15, 25, 22, 9, 1, 1, 21, 41, 46, 33, 11, 1, 1, 28, 61, 79, 73, 46, 13, 1, 1, 36, 85, 121, 129, 106, 61, 15, 1, 1, 45, 113, 172, 201, 191, 145, 78, 17, 1, 1, 55, 145, 232, 289, 301, 265, 190, 97, 19, 1]

cp's OEIS Frontend

A361682 Array read by descending antidiagonals. A(n, k) is the number of multiset combinations of {0, 1} whose type is defined in the comments. Also A(n, k) = hypergeom([-k, -2], [1], n).

Table of values

List of values

n	a(n)
0	1
1	1
2	1
3	1
4	3
5	1
6	1
7	6
8	5
9	1
10	1
11	10
12	13
13	7
14	1
15	1
16	15
17	25
18	22
19	9
20	1
21	1
22	21
23	41
24	46
25	33
26	11
27	1
28	1
29	28
30	61
31	79
32	73
33	46
34	13
35	1
36	1
37	36
38	85
39	121
40	129
41	106
42	61
43	15
44	1
45	1
46	45
47	113
48	172
49	201
50	191
51	145
52	78
53	17
54	1
55	1
56	55
57	145
58	232
59	289
60	301
61	265
62	190
63	97
64	19
65	1

n	a(n)
0	1
1	1
2	1
3	1
4	3
5	1
6	1
7	6
8	5
9	1
10	1
11	10
12	13
13	7
14	1
15	1
16	15
17	25
18	22
19	9
20	1
21	1
22	21
23	41
24	46
25	33
26	11
27	1
28	1
29	28
30	61
31	79
32	73
33	46
34	13
35	1
36	1
37	36
38	85
39	121
40	129
41	106
42	61
43	15
44	1
45	1
46	45
47	113
48	172
49	201
50	191
51	145
52	78
53	17
54	1
55	1
56	55
57	145
58	232
59	289
60	301
61	265
62	190
63	97
64	19
65	1

n	a(n)
0	1
1	1
2	1
3	1
4	3
5	1
6	1
7	6
8	5
9	1
10	1
11	10
12	13
13	7
14	1
15	1
16	15
17	25
18	22
19	9
20	1
21	1
22	21
23	41
24	46
25	33
26	11
27	1
28	1
29	28
30	61
31	79
32	73
33	46
34	13
35	1
36	1
37	36
38	85
39	121
40	129
41	106
42	61
43	15
44	1
45	1
46	45
47	113
48	172
49	201
50	191
51	145
52	78
53	17
54	1
55	1
56	55
57	145
58	232
59	289
60	301
61	265
62	190
63	97
64	19
65	1