A173117 - cp's OEIS frontend

A173117 Triangle T(n, k, q) = q[n=2] + Sum_{j=0..5} q^jbinomial(n-2j, k-j)[n>2*j] with T(n,0) = T(n,n) = 1 for q = 1, read by rows.

n	a(n)
0	1
1	1
2	1
3	1
4	3
5	1
6	1
7	4
8	4
9	1
10	1
11	5
12	8
13	5
14	1
15	1
16	6
17	14
18	14
19	6
20	1
21	1
22	7
23	20
24	28
25	20
26	7
27	1
28	1
29	8
30	27
31	49
32	49
33	27
34	8
35	1
36	1
37	9
38	35
39	76
40	98
41	76
42	35
43	9
44	1
45	1
46	10
47	44
48	111
49	175
50	175
51	111
52	44
53	10
54	1
55	1
56	11
57	54
58	155
59	286
60	350
61	286
62	155
63	54
64	11
65	1

[1, 1, 1, 1, 3, 1, 1, 4, 4, 1, 1, 5, 8, 5, 1, 1, 6, 14, 14, 6, 1, 1, 7, 20, 28, 20, 7, 1, 1, 8, 27, 49, 49, 27, 8, 1, 1, 9, 35, 76, 98, 76, 35, 9, 1, 1, 10, 44, 111, 175, 175, 111, 44, 10, 1, 1, 11, 54, 155, 286, 350, 286, 155, 54, 11, 1]

cp's OEIS Frontend

A173117 Triangle T(n, k, q) = q[n=2] + Sum_{j=0..5} q^jbinomial(n-2j, k-j)[n>2*j] with T(n,0) = T(n,n) = 1 for q = 1, read by rows.

Table of values

List of values

n	a(n)
0	1
1	1
2	1
3	1
4	3
5	1
6	1
7	4
8	4
9	1
10	1
11	5
12	8
13	5
14	1
15	1
16	6
17	14
18	14
19	6
20	1
21	1
22	7
23	20
24	28
25	20
26	7
27	1
28	1
29	8
30	27
31	49
32	49
33	27
34	8
35	1
36	1
37	9
38	35
39	76
40	98
41	76
42	35
43	9
44	1
45	1
46	10
47	44
48	111
49	175
50	175
51	111
52	44
53	10
54	1
55	1
56	11
57	54
58	155
59	286
60	350
61	286
62	155
63	54
64	11
65	1

n	a(n)
0	1
1	1
2	1
3	1
4	3
5	1
6	1
7	4
8	4
9	1
10	1
11	5
12	8
13	5
14	1
15	1
16	6
17	14
18	14
19	6
20	1
21	1
22	7
23	20
24	28
25	20
26	7
27	1
28	1
29	8
30	27
31	49
32	49
33	27
34	8
35	1
36	1
37	9
38	35
39	76
40	98
41	76
42	35
43	9
44	1
45	1
46	10
47	44
48	111
49	175
50	175
51	111
52	44
53	10
54	1
55	1
56	11
57	54
58	155
59	286
60	350
61	286
62	155
63	54
64	11
65	1

cp's OEIS Frontend

A173117 Triangle T(n, k, q) = q*[n=2] + Sum_{j=0..5} q^j*binomial(n-2*j, k-j)*[n>2*j] with T(n,0) = T(n,n) = 1 for q = 1, read by rows.

Table of values

List of values

A173117 Triangle T(n, k, q) = q[n=2] + Sum_{j=0..5} q^jbinomial(n-2j, k-j)[n>2*j] with T(n,0) = T(n,n) = 1 for q = 1, read by rows.

n	a(n)
0	1
1	1
2	1
3	1
4	3
5	1
6	1
7	4
8	4
9	1
10	1
11	5
12	8
13	5
14	1
15	1
16	6
17	14
18	14
19	6
20	1
21	1
22	7
23	20
24	28
25	20
26	7
27	1
28	1
29	8
30	27
31	49
32	49
33	27
34	8
35	1
36	1
37	9
38	35
39	76
40	98
41	76
42	35
43	9
44	1
45	1
46	10
47	44
48	111
49	175
50	175
51	111
52	44
53	10
54	1
55	1
56	11
57	54
58	155
59	286
60	350
61	286
62	155
63	54
64	11
65	1