A382521 - cp's OEIS frontend

A382521 Square array A(n,k), n>=0, k>=0, read by antidiagonals downwards, where n unlabeled objects are distributed into k containers of three kinds. Containers may be left empty.

n	a(n)
0	1
1	3
2	0
3	6
4	3
5	0
6	10
7	9
8	3
9	0
10	15
11	18
12	15
13	3
14	0
15	21
16	30
17	36
18	18
19	3
20	0
21	28
22	45
23	66
24	55
25	24
26	3
27	0
28	36
29	63
30	105
31	114
32	81
33	27
34	3
35	0
36	45
37	84
38	153
39	195
40	189
41	108
42	33
43	3
44	0
45	55
46	108
47	210
48	298
49	348
50	276
51	145
52	36
53	3
54	0
55	66
56	135
57	276
58	423
59	558
60	552
61	405
62	180
63	42
64	3
65	0
66	78
67	165
68	351
69	570
70	819
71	936
72	858
73	549
74	225
75	45
76	3
77	0

[1, 3, 0, 6, 3, 0, 10, 9, 3, 0, 15, 18, 15, 3, 0, 21, 30, 36, 18, 3, 0, 28, 45, 66, 55, 24, 3, 0, 36, 63, 105, 114, 81, 27, 3, 0, 45, 84, 153, 195, 189, 108, 33, 3, 0, 55, 108, 210, 298, 348, 276, 145, 36, 3, 0, 66, 135, 276, 423, 558, 552, 405, 180, 42, 3, 0, 78, 165, 351, 570, 819, 936, 858, 549, 225, 45, 3, 0]

cp's OEIS Frontend

A382521 Square array A(n,k), n>=0, k>=0, read by antidiagonals downwards, where n unlabeled objects are distributed into k containers of three kinds. Containers may be left empty.

Table of values

List of values

n	a(n)
0	1
1	3
2	0
3	6
4	3
5	0
6	10
7	9
8	3
9	0
10	15
11	18
12	15
13	3
14	0
15	21
16	30
17	36
18	18
19	3
20	0
21	28
22	45
23	66
24	55
25	24
26	3
27	0
28	36
29	63
30	105
31	114
32	81
33	27
34	3
35	0
36	45
37	84
38	153
39	195
40	189
41	108
42	33
43	3
44	0
45	55
46	108
47	210
48	298
49	348
50	276
51	145
52	36
53	3
54	0
55	66
56	135
57	276
58	423
59	558
60	552
61	405
62	180
63	42
64	3
65	0
66	78
67	165
68	351
69	570
70	819
71	936
72	858
73	549
74	225
75	45
76	3
77	0

n	a(n)
0	1
1	3
2	0
3	6
4	3
5	0
6	10
7	9
8	3
9	0
10	15
11	18
12	15
13	3
14	0
15	21
16	30
17	36
18	18
19	3
20	0
21	28
22	45
23	66
24	55
25	24
26	3
27	0
28	36
29	63
30	105
31	114
32	81
33	27
34	3
35	0
36	45
37	84
38	153
39	195
40	189
41	108
42	33
43	3
44	0
45	55
46	108
47	210
48	298
49	348
50	276
51	145
52	36
53	3
54	0
55	66
56	135
57	276
58	423
59	558
60	552
61	405
62	180
63	42
64	3
65	0
66	78
67	165
68	351
69	570
70	819
71	936
72	858
73	549
74	225
75	45
76	3
77	0

n	a(n)
0	1
1	3
2	0
3	6
4	3
5	0
6	10
7	9
8	3
9	0
10	15
11	18
12	15
13	3
14	0
15	21
16	30
17	36
18	18
19	3
20	0
21	28
22	45
23	66
24	55
25	24
26	3
27	0
28	36
29	63
30	105
31	114
32	81
33	27
34	3
35	0
36	45
37	84
38	153
39	195
40	189
41	108
42	33
43	3
44	0
45	55
46	108
47	210
48	298
49	348
50	276
51	145
52	36
53	3
54	0
55	66
56	135
57	276
58	423
59	558
60	552
61	405
62	180
63	42
64	3
65	0
66	78
67	165
68	351
69	570
70	819
71	936
72	858
73	549
74	225
75	45
76	3
77	0