A156072 - cp's OEIS frontend

A156072 T(n,k) = 1 + a(n) - a(k) - a(n - k), where a(n) = A078012(n+2), triangle read by rows (n >= 0, 0 <= k <= n).

n	a(n)
0	1
1	1
2	1
3	1
4	0
5	1
6	1
7	0
8	0
9	1
10	1
11	1
12	1
13	1
14	1
15	1
16	1
17	2
18	2
19	1
20	1
21	1
22	1
23	2
24	3
25	2
26	1
27	1
28	1
29	2
30	3
31	4
32	4
33	3
34	2
35	1
36	1
37	3
38	5
39	6
40	6
41	6
42	5
43	3
44	1
45	1
46	4
47	7
48	9
49	9
50	9
51	9
52	7
53	4
54	1
55	1
56	6
57	10
58	13
59	14
60	14
61	14
62	13
63	10
64	6
65	1
66	1
67	9
68	15
69	19
70	21
71	22
72	22
73	21
74	19
75	15
76	9
77	1
78	1
79	13
80	22
81	28
82	31
83	33
84	34
85	33
86	31
87	28
88	22
89	13
90	1

[1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 3, 2, 1, 1, 1, 2, 3, 4, 4, 3, 2, 1, 1, 3, 5, 6, 6, 6, 5, 3, 1, 1, 4, 7, 9, 9, 9, 9, 7, 4, 1, 1, 6, 10, 13, 14, 14, 14, 13, 10, 6, 1, 1, 9, 15, 19, 21, 22, 22, 21, 19, 15, 9, 1, 1, 13, 22, 28, 31, 33, 34, 33, 31, 28, 22, 13, 1]

cp's OEIS Frontend

A156072 T(n,k) = 1 + a(n) - a(k) - a(n - k), where a(n) = A078012(n+2), triangle read by rows (n >= 0, 0 <= k <= n).

Table of values

List of values

n	a(n)
0	1
1	1
2	1
3	1
4	0
5	1
6	1
7	0
8	0
9	1
10	1
11	1
12	1
13	1
14	1
15	1
16	1
17	2
18	2
19	1
20	1
21	1
22	1
23	2
24	3
25	2
26	1
27	1
28	1
29	2
30	3
31	4
32	4
33	3
34	2
35	1
36	1
37	3
38	5
39	6
40	6
41	6
42	5
43	3
44	1
45	1
46	4
47	7
48	9
49	9
50	9
51	9
52	7
53	4
54	1
55	1
56	6
57	10
58	13
59	14
60	14
61	14
62	13
63	10
64	6
65	1
66	1
67	9
68	15
69	19
70	21
71	22
72	22
73	21
74	19
75	15
76	9
77	1
78	1
79	13
80	22
81	28
82	31
83	33
84	34
85	33
86	31
87	28
88	22
89	13
90	1

n	a(n)
0	1
1	1
2	1
3	1
4	0
5	1
6	1
7	0
8	0
9	1
10	1
11	1
12	1
13	1
14	1
15	1
16	1
17	2
18	2
19	1
20	1
21	1
22	1
23	2
24	3
25	2
26	1
27	1
28	1
29	2
30	3
31	4
32	4
33	3
34	2
35	1
36	1
37	3
38	5
39	6
40	6
41	6
42	5
43	3
44	1
45	1
46	4
47	7
48	9
49	9
50	9
51	9
52	7
53	4
54	1
55	1
56	6
57	10
58	13
59	14
60	14
61	14
62	13
63	10
64	6
65	1
66	1
67	9
68	15
69	19
70	21
71	22
72	22
73	21
74	19
75	15
76	9
77	1
78	1
79	13
80	22
81	28
82	31
83	33
84	34
85	33
86	31
87	28
88	22
89	13
90	1

n	a(n)
0	1
1	1
2	1
3	1
4	0
5	1
6	1
7	0
8	0
9	1
10	1
11	1
12	1
13	1
14	1
15	1
16	1
17	2
18	2
19	1
20	1
21	1
22	1
23	2
24	3
25	2
26	1
27	1
28	1
29	2
30	3
31	4
32	4
33	3
34	2
35	1
36	1
37	3
38	5
39	6
40	6
41	6
42	5
43	3
44	1
45	1
46	4
47	7
48	9
49	9
50	9
51	9
52	7
53	4
54	1
55	1
56	6
57	10
58	13
59	14
60	14
61	14
62	13
63	10
64	6
65	1
66	1
67	9
68	15
69	19
70	21
71	22
72	22
73	21
74	19
75	15
76	9
77	1
78	1
79	13
80	22
81	28
82	31
83	33
84	34
85	33
86	31
87	28
88	22
89	13
90	1