A054110 - cp's OEIS frontend

A054110 Triangular array T(n,k): in Pascal's triangle, draw vertical lines through binomial(n-1,k-1) (if present) and binomial(n-1,k) (if present); then T(n,k) is the sum of binomial(i,j) that lie on or between the lines and not below binomial(n,k).

n	a(n)
0	1
1	1
2	1
3	1
4	5
5	1
6	1
7	8
8	8
9	1
10	1
11	10
12	17
13	10
14	1
15	1
16	12
17	28
18	28
19	12
20	1
21	1
22	14
23	40
24	57
25	40
26	14
27	1
28	1
29	16
30	54
31	98
32	98
33	54
34	16
35	1
36	1
37	18
38	70
39	152
40	197
41	152
42	70
43	18
44	1
45	1
46	20
47	88
48	222
49	350
50	350
51	222
52	88
53	20
54	1
55	1
56	22
57	108
58	310
59	572
60	701
61	572
62	310
63	108

[1, 1, 1, 1, 5, 1, 1, 8, 8, 1, 1, 10, 17, 10, 1, 1, 12, 28, 28, 12, 1, 1, 14, 40, 57, 40, 14, 1, 1, 16, 54, 98, 98, 54, 16, 1, 1, 18, 70, 152, 197, 152, 70, 18, 1, 1, 20, 88, 222, 350, 350, 222, 88, 20, 1, 1, 22, 108, 310, 572, 701, 572, 310, 108]

cp's OEIS Frontend

A054110 Triangular array T(n,k): in Pascal's triangle, draw vertical lines through binomial(n-1,k-1) (if present) and binomial(n-1,k) (if present); then T(n,k) is the sum of binomial(i,j) that lie on or between the lines and not below binomial(n,k).

Table of values

List of values

n	a(n)
0	1
1	1
2	1
3	1
4	5
5	1
6	1
7	8
8	8
9	1
10	1
11	10
12	17
13	10
14	1
15	1
16	12
17	28
18	28
19	12
20	1
21	1
22	14
23	40
24	57
25	40
26	14
27	1
28	1
29	16
30	54
31	98
32	98
33	54
34	16
35	1
36	1
37	18
38	70
39	152
40	197
41	152
42	70
43	18
44	1
45	1
46	20
47	88
48	222
49	350
50	350
51	222
52	88
53	20
54	1
55	1
56	22
57	108
58	310
59	572
60	701
61	572
62	310
63	108

n	a(n)
0	1
1	1
2	1
3	1
4	5
5	1
6	1
7	8
8	8
9	1
10	1
11	10
12	17
13	10
14	1
15	1
16	12
17	28
18	28
19	12
20	1
21	1
22	14
23	40
24	57
25	40
26	14
27	1
28	1
29	16
30	54
31	98
32	98
33	54
34	16
35	1
36	1
37	18
38	70
39	152
40	197
41	152
42	70
43	18
44	1
45	1
46	20
47	88
48	222
49	350
50	350
51	222
52	88
53	20
54	1
55	1
56	22
57	108
58	310
59	572
60	701
61	572
62	310
63	108

n	a(n)
0	1
1	1
2	1
3	1
4	5
5	1
6	1
7	8
8	8
9	1
10	1
11	10
12	17
13	10
14	1
15	1
16	12
17	28
18	28
19	12
20	1
21	1
22	14
23	40
24	57
25	40
26	14
27	1
28	1
29	16
30	54
31	98
32	98
33	54
34	16
35	1
36	1
37	18
38	70
39	152
40	197
41	152
42	70
43	18
44	1
45	1
46	20
47	88
48	222
49	350
50	350
51	222
52	88
53	20
54	1
55	1
56	22
57	108
58	310
59	572
60	701
61	572
62	310
63	108