A144398 - cp's OEIS frontend

A144398 Coefficients of a symmetrical polynomial set:( Pascal's triangle with central zeros) p(x,n)=If[n <= 4, Sum[Binomial[n, i]x^i, {i, 0, n}], x^n + nx^(n - 1) + Binomial[n, 2]x^(n - 2) + nx + Binomial[n, 2]*x^2 + 1].

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

[1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 1, 4, 6, 4, 1, 1, 5, 10, 10, 5, 1, 1, 6, 15, 0, 15, 6, 1, 1, 7, 21, 0, 0, 21, 7, 1, 1, 8, 28, 0, 0, 0, 28, 8, 1, 1, 9, 36, 0, 0, 0, 0, 36, 9, 1, 1, 10, 45, 0, 0, 0, 0, 0, 45, 10, 1]

cp's OEIS Frontend

A144398 Coefficients of a symmetrical polynomial set:( Pascal's triangle with central zeros) p(x,n)=If[n <= 4, Sum[Binomial[n, i]x^i, {i, 0, n}], x^n + nx^(n - 1) + Binomial[n, 2]x^(n - 2) + nx + Binomial[n, 2]*x^2 + 1].

Table of values

List of values

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

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

cp's OEIS Frontend

A144398 Coefficients of a symmetrical polynomial set:( Pascal's triangle with central zeros) p(x,n)=If[n <= 4, Sum[Binomial[n, i]*x^i, {i, 0, n}], x^n + n*x^(n - 1) + Binomial[n, 2]*x^(n - 2) + n*x + Binomial[n, 2]*x^2 + 1].

Table of values

List of values

A144398 Coefficients of a symmetrical polynomial set:( Pascal's triangle with central zeros) p(x,n)=If[n <= 4, Sum[Binomial[n, i]x^i, {i, 0, n}], x^n + nx^(n - 1) + Binomial[n, 2]x^(n - 2) + nx + Binomial[n, 2]*x^2 + 1].

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