A382108 - cp's OEIS frontend

A382108 Number of zeros (counted with multiplicity) on the unit circle of the polynomial P(n,z) = Sum_{k=0..n} T(n,k)*z^k where T(n,k) = A214292(n,k) is the first differences of rows in Pascal's triangle.

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

[0, 1, 2, 3, 4, 5, 6, 3, 4, 3, 6, 5, 6, 5, 6, 7, 8, 9, 10, 3, 8, 7, 10, 9, 10, 7, 10, 11, 8, 11, 12, 9, 10, 11, 14, 11, 14, 11, 12, 13, 12, 13, 12, 15, 12, 7, 18, 19, 16, 11, 14, 11, 14, 11, 18, 11, 18, 15, 18, 19, 22, 7, 16, 21, 20, 17, 22, 15, 18, 21, 20, 25, 20]

cp's OEIS Frontend

A382108 Number of zeros (counted with multiplicity) on the unit circle of the polynomial P(n,z) = Sum_{k=0..n} T(n,k)*z^k where T(n,k) = A214292(n,k) is the first differences of rows in Pascal's triangle.

Table of values

List of values

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

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

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