A350530 - cp's OEIS frontend

A350530 Square array read by antidiagonals downwards: T(n,k) is the number of sequences of length n with terms in 0..k such that the (n-1)-st difference is zero, but no earlier iterated difference is zero, n, k >= 1.

n	a(n)
1	1
2	1
3	0
4	1
5	1
6	0
7	1
8	2
9	0
10	0
11	1
12	3
13	0
14	0
15	0
16	1
17	4
18	2
19	0
20	0
21	0
22	1
23	5
24	4
25	0
26	0
27	0
28	0
29	1
30	6
31	8
32	0
33	0
34	0
35	0
36	0
37	1
38	7
39	12
40	4
41	0
42	0
43	0
44	0
45	0
46	1
47	8
48	18
49	12
50	8
51	4
52	0
53	0
54	0
55	0
56	1
57	9
58	24
59	28
60	36
61	28
62	4
63	0
64	0
65	0
66	0
67	1
68	10
69	32
70	52
71	84
72	116
73	48
74	16
75	0
76	0
77	0
78	0

[1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 3, 0, 0, 0, 1, 4, 2, 0, 0, 0, 1, 5, 4, 0, 0, 0, 0, 1, 6, 8, 0, 0, 0, 0, 0, 1, 7, 12, 4, 0, 0, 0, 0, 0, 1, 8, 18, 12, 8, 4, 0, 0, 0, 0, 1, 9, 24, 28, 36, 28, 4, 0, 0, 0, 0, 1, 10, 32, 52, 84, 116, 48, 16, 0, 0, 0, 0]

cp's OEIS Frontend

A350530 Square array read by antidiagonals downwards: T(n,k) is the number of sequences of length n with terms in 0..k such that the (n-1)-st difference is zero, but no earlier iterated difference is zero, n, k >= 1.

Table of values

List of values

n	a(n)
1	1
2	1
3	0
4	1
5	1
6	0
7	1
8	2
9	0
10	0
11	1
12	3
13	0
14	0
15	0
16	1
17	4
18	2
19	0
20	0
21	0
22	1
23	5
24	4
25	0
26	0
27	0
28	0
29	1
30	6
31	8
32	0
33	0
34	0
35	0
36	0
37	1
38	7
39	12
40	4
41	0
42	0
43	0
44	0
45	0
46	1
47	8
48	18
49	12
50	8
51	4
52	0
53	0
54	0
55	0
56	1
57	9
58	24
59	28
60	36
61	28
62	4
63	0
64	0
65	0
66	0
67	1
68	10
69	32
70	52
71	84
72	116
73	48
74	16
75	0
76	0
77	0
78	0

n	a(n)
1	1
2	1
3	0
4	1
5	1
6	0
7	1
8	2
9	0
10	0
11	1
12	3
13	0
14	0
15	0
16	1
17	4
18	2
19	0
20	0
21	0
22	1
23	5
24	4
25	0
26	0
27	0
28	0
29	1
30	6
31	8
32	0
33	0
34	0
35	0
36	0
37	1
38	7
39	12
40	4
41	0
42	0
43	0
44	0
45	0
46	1
47	8
48	18
49	12
50	8
51	4
52	0
53	0
54	0
55	0
56	1
57	9
58	24
59	28
60	36
61	28
62	4
63	0
64	0
65	0
66	0
67	1
68	10
69	32
70	52
71	84
72	116
73	48
74	16
75	0
76	0
77	0
78	0

n	a(n)
1	1
2	1
3	0
4	1
5	1
6	0
7	1
8	2
9	0
10	0
11	1
12	3
13	0
14	0
15	0
16	1
17	4
18	2
19	0
20	0
21	0
22	1
23	5
24	4
25	0
26	0
27	0
28	0
29	1
30	6
31	8
32	0
33	0
34	0
35	0
36	0
37	1
38	7
39	12
40	4
41	0
42	0
43	0
44	0
45	0
46	1
47	8
48	18
49	12
50	8
51	4
52	0
53	0
54	0
55	0
56	1
57	9
58	24
59	28
60	36
61	28
62	4
63	0
64	0
65	0
66	0
67	1
68	10
69	32
70	52
71	84
72	116
73	48
74	16
75	0
76	0
77	0
78	0