A213275 - cp's OEIS frontend

A213275 Number A(n,k) of words w where each letter of the k-ary alphabet occurs n times and for every prefix z of w we have #(z,a_i) = 0 or #(z,a_i) >= #(z,a_j) for all j>i and #(z,a_i) counts the occurrences of the i-th letter in z; square array A(n,k), n>=0, k>=0, read by antidiagonals.

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	1
6	1
7	2
8	1
9	1
10	1
11	6
12	3
13	1
14	1
15	1
16	24
17	15
18	7
19	1
20	1
21	1
22	120
23	105
24	106
25	19
26	1
27	1
28	1
29	720
30	945
31	2575
32	1075
33	56
34	1
35	1
36	1
37	5040
38	10395
39	87595
40	115955
41	13326
42	174
43	1
44	1
45	1
46	40320
47	135135
48	3864040
49	19558470
50	7364321
51	188196
52	561
53	1
54	1

[1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 6, 3, 1, 1, 1, 24, 15, 7, 1, 1, 1, 120, 105, 106, 19, 1, 1, 1, 720, 945, 2575, 1075, 56, 1, 1, 1, 5040, 10395, 87595, 115955, 13326, 174, 1, 1, 1, 40320, 135135, 3864040, 19558470, 7364321, 188196, 561, 1, 1]

cp's OEIS Frontend

A213275 Number A(n,k) of words w where each letter of the k-ary alphabet occurs n times and for every prefix z of w we have #(z,a_i) = 0 or #(z,a_i) >= #(z,a_j) for all j>i and #(z,a_i) counts the occurrences of the i-th letter in z; square array A(n,k), n>=0, k>=0, read by antidiagonals.

Table of values

List of values