A375763 - cp's OEIS frontend

A375763 Irregular triangle read by rows, T(n,k) is the number of North-East lattice paths from (0,0) to (n,n+2) that stay weakly above y = x, with weight = k + A000217(n).

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

[1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 3, 4, 5, 4, 4, 3, 2, 1, 1, 1, 4, 7, 10, 11, 11, 11, 9, 8, 6, 5, 3, 2, 1, 1, 1, 5, 11, 18, 24, 27, 30, 29, 28, 25, 23, 19, 16, 12, 10, 7, 5, 3, 2, 1, 1, 1, 6, 16, 30, 46, 59, 71, 78, 81, 81, 78, 74, 67, 60, 52, 46, 37, 31, 24]

cp's OEIS Frontend

A375763 Irregular triangle read by rows, T(n,k) is the number of North-East lattice paths from (0,0) to (n,n+2) that stay weakly above y = x, with weight = k + A000217(n).

Table of values

List of values

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

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

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