A293112 - cp's OEIS frontend

A293112 Number A(n,k) of sets 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	1
9	0
10	1
11	1
12	2
13	2
14	0
15	1
16	1
17	2
18	5
19	2
20	0
21	1
22	1
23	2
24	6
25	10
26	3
27	0
28	1
29	1
30	2
31	6
32	14
33	23
34	4
35	0
36	1
37	1
38	2
39	6
40	15
41	39
42	51
43	5
44	0
45	1
46	1
47	2
48	6
49	15
50	44
51	104
52	111
53	6
54	0
55	1
56	1
57	2
58	6
59	15
60	45
61	129
62	284
63	243
64	8
65	0
66	1
67	1
68	2
69	6
70	15
71	45
72	135
73	386
74	775
75	530
76	10
77	0

[1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 5, 2, 0, 1, 1, 2, 6, 10, 3, 0, 1, 1, 2, 6, 14, 23, 4, 0, 1, 1, 2, 6, 15, 39, 51, 5, 0, 1, 1, 2, 6, 15, 44, 104, 111, 6, 0, 1, 1, 2, 6, 15, 45, 129, 284, 243, 8, 0, 1, 1, 2, 6, 15, 45, 135, 386, 775, 530, 10, 0]

cp's OEIS Frontend

A293112 Number A(n,k) of sets 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	1
9	0
10	1
11	1
12	2
13	2
14	0
15	1
16	1
17	2
18	5
19	2
20	0
21	1
22	1
23	2
24	6
25	10
26	3
27	0
28	1
29	1
30	2
31	6
32	14
33	23
34	4
35	0
36	1
37	1
38	2
39	6
40	15
41	39
42	51
43	5
44	0
45	1
46	1
47	2
48	6
49	15
50	44
51	104
52	111
53	6
54	0
55	1
56	1
57	2
58	6
59	15
60	45
61	129
62	284
63	243
64	8
65	0
66	1
67	1
68	2
69	6
70	15
71	45
72	135
73	386
74	775
75	530
76	10
77	0

n	a(n)
0	1
1	1
2	0
3	1
4	1
5	0
6	1
7	1
8	1
9	0
10	1
11	1
12	2
13	2
14	0
15	1
16	1
17	2
18	5
19	2
20	0
21	1
22	1
23	2
24	6
25	10
26	3
27	0
28	1
29	1
30	2
31	6
32	14
33	23
34	4
35	0
36	1
37	1
38	2
39	6
40	15
41	39
42	51
43	5
44	0
45	1
46	1
47	2
48	6
49	15
50	44
51	104
52	111
53	6
54	0
55	1
56	1
57	2
58	6
59	15
60	45
61	129
62	284
63	243
64	8
65	0
66	1
67	1
68	2
69	6
70	15
71	45
72	135
73	386
74	775
75	530
76	10
77	0

n	a(n)
0	1
1	1
2	0
3	1
4	1
5	0
6	1
7	1
8	1
9	0
10	1
11	1
12	2
13	2
14	0
15	1
16	1
17	2
18	5
19	2
20	0
21	1
22	1
23	2
24	6
25	10
26	3
27	0
28	1
29	1
30	2
31	6
32	14
33	23
34	4
35	0
36	1
37	1
38	2
39	6
40	15
41	39
42	51
43	5
44	0
45	1
46	1
47	2
48	6
49	15
50	44
51	104
52	111
53	6
54	0
55	1
56	1
57	2
58	6
59	15
60	45
61	129
62	284
63	243
64	8
65	0
66	1
67	1
68	2
69	6
70	15
71	45
72	135
73	386
74	775
75	530
76	10
77	0