A351645 - cp's OEIS frontend

A351645 Triangle read by rows: T(n,k) is the number of length n word structures using exactly k different symbols with all distinct run-lengths and the first run length of a symbol less than that of previous symbols, n >= 0, k = 0..floor(sqrt(8*n+1)-1/2).

n	a(n)
0	1
1	0
2	1
3	0
4	1
5	0
6	1
7	1
8	0
9	1
10	1
11	0
12	1
13	2
14	0
15	1
16	5
17	1
18	0
19	1
20	6
21	1
22	0
23	1
24	9
25	2
26	0
27	1
28	13
29	3
30	0
31	1
32	28
33	16
34	1
35	0
36	1
37	32
38	17
39	1
40	0
41	1
42	50
43	31
44	2
45	0
46	1
47	66
48	44
49	3
50	0
51	1
52	96
53	70
54	5
55	0
56	1
57	175
58	224
59	36
60	1
61	0
62	1
63	217
64	262
65	39
66	1
67	0
68	1
69	308
70	428
71	71
72	2
73	0
74	1
75	425
76	619
77	105
78	3

[1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 5, 1, 0, 1, 6, 1, 0, 1, 9, 2, 0, 1, 13, 3, 0, 1, 28, 16, 1, 0, 1, 32, 17, 1, 0, 1, 50, 31, 2, 0, 1, 66, 44, 3, 0, 1, 96, 70, 5, 0, 1, 175, 224, 36, 1, 0, 1, 217, 262, 39, 1, 0, 1, 308, 428, 71, 2, 0, 1, 425, 619, 105, 3]

cp's OEIS Frontend

A351645 Triangle read by rows: T(n,k) is the number of length n word structures using exactly k different symbols with all distinct run-lengths and the first run length of a symbol less than that of previous symbols, n >= 0, k = 0..floor(sqrt(8*n+1)-1/2).

Table of values

List of values

n	a(n)
0	1
1	0
2	1
3	0
4	1
5	0
6	1
7	1
8	0
9	1
10	1
11	0
12	1
13	2
14	0
15	1
16	5
17	1
18	0
19	1
20	6
21	1
22	0
23	1
24	9
25	2
26	0
27	1
28	13
29	3
30	0
31	1
32	28
33	16
34	1
35	0
36	1
37	32
38	17
39	1
40	0
41	1
42	50
43	31
44	2
45	0
46	1
47	66
48	44
49	3
50	0
51	1
52	96
53	70
54	5
55	0
56	1
57	175
58	224
59	36
60	1
61	0
62	1
63	217
64	262
65	39
66	1
67	0
68	1
69	308
70	428
71	71
72	2
73	0
74	1
75	425
76	619
77	105
78	3

n	a(n)
0	1
1	0
2	1
3	0
4	1
5	0
6	1
7	1
8	0
9	1
10	1
11	0
12	1
13	2
14	0
15	1
16	5
17	1
18	0
19	1
20	6
21	1
22	0
23	1
24	9
25	2
26	0
27	1
28	13
29	3
30	0
31	1
32	28
33	16
34	1
35	0
36	1
37	32
38	17
39	1
40	0
41	1
42	50
43	31
44	2
45	0
46	1
47	66
48	44
49	3
50	0
51	1
52	96
53	70
54	5
55	0
56	1
57	175
58	224
59	36
60	1
61	0
62	1
63	217
64	262
65	39
66	1
67	0
68	1
69	308
70	428
71	71
72	2
73	0
74	1
75	425
76	619
77	105
78	3

n	a(n)
0	1
1	0
2	1
3	0
4	1
5	0
6	1
7	1
8	0
9	1
10	1
11	0
12	1
13	2
14	0
15	1
16	5
17	1
18	0
19	1
20	6
21	1
22	0
23	1
24	9
25	2
26	0
27	1
28	13
29	3
30	0
31	1
32	28
33	16
34	1
35	0
36	1
37	32
38	17
39	1
40	0
41	1
42	50
43	31
44	2
45	0
46	1
47	66
48	44
49	3
50	0
51	1
52	96
53	70
54	5
55	0
56	1
57	175
58	224
59	36
60	1
61	0
62	1
63	217
64	262
65	39
66	1
67	0
68	1
69	308
70	428
71	71
72	2
73	0
74	1
75	425
76	619
77	105
78	3