A293108 - cp's OEIS frontend

A293108 Number A(n,k) of multisets of nonempty words with a total of n letters over k-ary alphabet such that within each prefix of a word every letter of the alphabet is at least as frequent as the subsequent alphabet letter; square array A(n,k), n>=0, k>=0, read by antidiagonals.

n	a(n)
0	1
1	1
2	0
3	1
4	1
5	0
6	1
7	1
8	2
9	0
10	1
11	1
12	3
13	3
14	0
15	1
16	1
17	3
18	6
19	5
20	0
21	1
22	1
23	3
24	7
25	15
26	7
27	0
28	1
29	1
30	3
31	7
32	19
33	31
34	11
35	0
36	1
37	1
38	3
39	7
40	20
41	48
42	73
43	15
44	0
45	1
46	1
47	3
48	7
49	20
50	53
51	131
52	155
53	22
54	0
55	1
56	1
57	3
58	7
59	20
60	54
61	157
62	348
63	351
64	30
65	0
66	1
67	1
68	3
69	7
70	20
71	54
72	163
73	455
74	954
75	755
76	42
77	0

[1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 3, 3, 0, 1, 1, 3, 6, 5, 0, 1, 1, 3, 7, 15, 7, 0, 1, 1, 3, 7, 19, 31, 11, 0, 1, 1, 3, 7, 20, 48, 73, 15, 0, 1, 1, 3, 7, 20, 53, 131, 155, 22, 0, 1, 1, 3, 7, 20, 54, 157, 348, 351, 30, 0, 1, 1, 3, 7, 20, 54, 163, 455, 954, 755, 42, 0]

cp's OEIS Frontend

A293108 Number A(n,k) of multisets of nonempty words with a total of n letters over k-ary alphabet such that within each prefix of a word every letter of the alphabet is at least as frequent as the subsequent alphabet letter; square array A(n,k), n>=0, k>=0, read by antidiagonals.

Table of values

List of values

n	a(n)
0	1
1	1
2	0
3	1
4	1
5	0
6	1
7	1
8	2
9	0
10	1
11	1
12	3
13	3
14	0
15	1
16	1
17	3
18	6
19	5
20	0
21	1
22	1
23	3
24	7
25	15
26	7
27	0
28	1
29	1
30	3
31	7
32	19
33	31
34	11
35	0
36	1
37	1
38	3
39	7
40	20
41	48
42	73
43	15
44	0
45	1
46	1
47	3
48	7
49	20
50	53
51	131
52	155
53	22
54	0
55	1
56	1
57	3
58	7
59	20
60	54
61	157
62	348
63	351
64	30
65	0
66	1
67	1
68	3
69	7
70	20
71	54
72	163
73	455
74	954
75	755
76	42
77	0

n	a(n)
0	1
1	1
2	0
3	1
4	1
5	0
6	1
7	1
8	2
9	0
10	1
11	1
12	3
13	3
14	0
15	1
16	1
17	3
18	6
19	5
20	0
21	1
22	1
23	3
24	7
25	15
26	7
27	0
28	1
29	1
30	3
31	7
32	19
33	31
34	11
35	0
36	1
37	1
38	3
39	7
40	20
41	48
42	73
43	15
44	0
45	1
46	1
47	3
48	7
49	20
50	53
51	131
52	155
53	22
54	0
55	1
56	1
57	3
58	7
59	20
60	54
61	157
62	348
63	351
64	30
65	0
66	1
67	1
68	3
69	7
70	20
71	54
72	163
73	455
74	954
75	755
76	42
77	0

n	a(n)
0	1
1	1
2	0
3	1
4	1
5	0
6	1
7	1
8	2
9	0
10	1
11	1
12	3
13	3
14	0
15	1
16	1
17	3
18	6
19	5
20	0
21	1
22	1
23	3
24	7
25	15
26	7
27	0
28	1
29	1
30	3
31	7
32	19
33	31
34	11
35	0
36	1
37	1
38	3
39	7
40	20
41	48
42	73
43	15
44	0
45	1
46	1
47	3
48	7
49	20
50	53
51	131
52	155
53	22
54	0
55	1
56	1
57	3
58	7
59	20
60	54
61	157
62	348
63	351
64	30
65	0
66	1
67	1
68	3
69	7
70	20
71	54
72	163
73	455
74	954
75	755
76	42
77	0